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211120002112020 = 223517094217488239
BaseRepresentation
bin110000000000001100110100…
…101110110001101000010100
31000200111212121221102122112020
4300000030310232301220110
5210132442231020041040
62025003105014453140
762316626314601061
oct6000146456615024
91020455557378466
10211120002112020
11612a654333a151
121b8185796641b0
1390a56b91596c1
143a1c3968d1c68
151961ab09b9cd0
hexc00334bb1a14

211120002112020 has 96 divisors (see below), whose sum is σ = 591623374809600. Its totient is φ = 56252266957824.

The previous prime is 211120002111979. The next prime is 211120002112021. The reversal of 211120002112020 is 20211200021112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120002112021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432167061 + ... + 432655299.

It is an arithmetic number, because the mean of its divisors is an integer number (6162743487600).

Almost surely, 2211120002112020 is an apocalyptic number.

211120002112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120002112020 is an abundant number, since it is smaller than the sum of its proper divisors (380503372697580).

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

211120002112020 is a wasteful number, since it uses less digits than its factorization.

211120002112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494177 (or 494175 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211120002112020 its reverse (20211200021112), we get a palindrome (231331202133132).

The spelling of 211120002112020 in words is "two hundred eleven trillion, one hundred twenty billion, two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1709 3418 4217 5127 6836 8434 8545 10254 12651 16868 17090 20508 21085 25302 25635 34180 42170 50604 51270 63255 84340 102540 126510 253020 488239 976478 1464717 1952956 2441195 2929434 4882390 5858868 7206853 7323585 9764780 14413706 14647170 21620559 28827412 29294340 36034265 43241118 72068530 86482236 108102795 144137060 216205590 432411180 834400451 1668800902 2058903863 2503201353 3337601804 4117807726 4172002255 5006402706 6176711589 8235615452 8344004510 10012805412 10294519315 12353423178 12516006765 16688009020 20589038630 24706846356 25032013530 30883557945 41178077260 50064027060 61767115890 123534231780 3518666701867 7037333403734 10556000105601 14074666807468 17593333509335 21112000211202 35186667018670 42224000422404 52780000528005 70373334037340 105560001056010 211120002112020