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211212210202020 = 2232549114797161507
BaseRepresentation
bin110000000001100010101100…
…110000101110010110100100
31000200211200122002012221200200
4300001202230300232112210
5210141000101302431040
62025113314434110500
762326402315456566
oct6001425460562644
91020750562187620
10211212210202020
1161331660405a05
121b832411a1b430
1390b12c25836c1
143a22a22b75336
1519641aab10630
hexc018acc2e5a4

211212210202020 has 144 divisors (see below), whose sum is σ = 642029239994688. Its totient is φ = 56204398091520.

The previous prime is 211212210201983. The next prime is 211212210202027. The reversal of 211212210202020 is 20202012212112.

It is a happy number.

211212210202020 is a `hidden beast` number, since 21 + 1 + 212 + 210 + 20 + 202 + 0 = 666.

It is a super-2 number, since 2×2112122102020202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211212210201984 and 211212210202002.

It is not an unprimeable number, because it can be changed into a prime (211212210202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307678107 + ... + 1307839613.

It is an arithmetic number, because the mean of its divisors is an integer number (4458536388852).

Almost surely, 2211212210202020 is an apocalyptic number.

211212210202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211212210202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321014619997344).

211212210202020 is an abundant number, since it is smaller than the sum of its proper divisors (430817029792668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211212210202020 is a wasteful number, since it uses less digits than its factorization.

211212210202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176810 (or 176805 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211212210202020 its reverse (20202012212112), we get a palindrome (231414222414132).

The spelling of 211212210202020 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred ten million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 491 982 1473 1964 2455 2946 4419 4910 5892 7365 8838 9820 14730 14797 17676 22095 29460 29594 44190 44391 59188 73985 88380 88782 133173 147970 161507 177564 221955 266346 295940 323014 443910 484521 532692 646028 665865 807535 887820 969042 1331730 1453563 1615070 1938084 2422605 2663460 2907126 3230140 4845210 5814252 7265327 7267815 9690420 14530654 14535630 21795981 29061308 29071260 36326635 43591962 65387943 72653270 79299937 87183924 108979905 130775886 145306540 158599874 217959810 237899811 261551772 317199748 326939715 396499685 435919620 475799622 653879430 713699433 792999370 951599244 1189499055 1307758860 1427398866 1585998740 2378998110 2389819079 2854797732 3568497165 4757996220 4779638158 7136994330 7169457237 9559276316 11949095395 14273988660 14338914474 21508371711 23898190790 28677828948 35847286185 43016743422 47796381580 71694572370 86033486844 107541858555 143389144740 215083717110 430167434220 1173401167789 2346802335578 3520203503367 4693604671156 5867005838945 7040407006734 10560610510101 11734011677890 14080814013468 17601017516835 21121221020202 23468023355780 35202035033670 42242442040404 52803052550505 70404070067340 105606105101010 211212210202020