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3320210011120 = 2451791553149297
BaseRepresentation
bin110000010100001011111…
…100000011001111110000
3102202102001010220020112121
4300110023330003033300
5413344242230323440
611021141115204024
7461606620304602
oct60241374031760
912672033806477
103320210011120
111070102aa2502
1245758b746614
131b112c6b7372
14b69b018b172
155b57630434a
hex3050bf033f0

3320210011120 has 80 divisors (see below), whose sum is σ = 7767664400160. Its totient is φ = 1319805304832.

The previous prime is 3320210011067. The next prime is 3320210011163. The reversal of 3320210011120 is 211100120233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33202100111202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3320210011094 and 3320210011103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22164312 + ... + 22313608.

It is an arithmetic number, because the mean of its divisors is an integer number (97095805002).

Almost surely, 23320210011120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3320210011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883832200080).

3320210011120 is an abundant number, since it is smaller than the sum of its proper divisors (4447454389040).

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

3320210011120 is a wasteful number, since it uses less digits than its factorization.

3320210011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151042 (or 151036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3320210011120 its reverse (211100120233), we get a palindrome (3531310131353).

The spelling of 3320210011120 in words is "three trillion, three hundred twenty billion, two hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1553 1790 2864 3106 3580 6212 7160 7765 12424 14320 15530 24848 31060 62120 124240 149297 277987 298594 555974 597188 746485 1111948 1194376 1389935 1492970 2223896 2388752 2779870 2985940 4447792 5559740 5971880 11119480 11943760 22238960 26724163 53448326 106896652 133620815 213793304 231858241 267241630 427586608 463716482 534483260 927432964 1068966520 1159291205 1854865928 2137933040 2318582410 3709731856 4637164820 9274329640 18548659280 41502625139 83005250278 166010500556 207513125695 332021001112 415026251390 664042002224 830052502780 1660105005560 3320210011120