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20212202122020 = 22325434755561609
BaseRepresentation
bin1001001100010000001010…
…01000001010101100100100
32122120021020010012012210100
410212020011020022230210
510122124042220401040
6110553205114024100
74154166132215436
oct446100510125444
978507203165710
1020212202122020
116492a461920a7
122325315718030
13b380055b584c
144dc3c0b32656
15250b746a3b30
hex12620520ab24

20212202122020 has 144 divisors (see below), whose sum is σ = 64070981694720. Its totient is φ = 5152561279488.

The previous prime is 20212202121941. The next prime is 20212202122081. The reversal of 20212202122020 is 2022120221202.

20212202122020 is a `hidden beast` number, since 20 + 212 + 20 + 212 + 202 + 0 = 666.

It is a super-2 number, since 2×202122021220202 (a number of 27 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 = 20212202121984 and 20212202122002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27417025 + ... + 28144584.

It is an arithmetic number, because the mean of its divisors is an integer number (444937372880).

Almost surely, 220212202122020 is an apocalyptic number.

20212202122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212202122020 is an abundant number, since it is smaller than the sum of its proper divisors (43858779572700).

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

20212202122020 is a wasteful number, since it uses less digits than its factorization.

20212202122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55561714 (or 55561709 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20212202122020 its reverse (2022120221202), we get a palindrome (22234322343222).

The spelling of 20212202122020 in words is "twenty trillion, two hundred twelve billion, two hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 47 60 86 90 94 129 141 172 180 188 215 235 258 282 387 423 430 470 516 564 645 705 774 846 860 940 1290 1410 1548 1692 1935 2021 2115 2580 2820 3870 4042 4230 6063 7740 8084 8460 10105 12126 18189 20210 24252 30315 36378 40420 60630 72756 90945 121260 181890 363780 55561609 111123218 166684827 222246436 277808045 333369654 500054481 555616090 666739308 833424135 1000108962 1111232180 1666848270 2000217924 2389149187 2500272405 2611395623 3333696540 4778298374 5000544810 5222791246 7167447561 7834186869 9556596748 10001089620 10445582492 11945745935 13056978115 14334895122 15668373738 21502342683 23502560607 23891491870 26113956230 28669790244 31336747476 35837237805 39170934345 43004685366 47005121214 47782983740 52227912460 71674475610 78341868690 86009370732 94010242428 107511713415 112290011789 117512803035 143348951220 156683737380 215023426830 224580023578 235025606070 336870035367 430046853660 449160047156 470051212140 561450058945 673740070734 1010610106101 1122900117890 1347480141468 1684350176835 2021220212202 2245800235780 3368700353670 4042440424404 5053050530505 6737400707340 10106101061010 20212202122020