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211022102000120 = 23519328197275691
BaseRepresentation
bin101111111110110001101001…
…011011011111000111111000
31000200011111221010002200012212
4233332301221123133013320
5210124341231103000440
62024450114303354252
762306562256432235
oct5776615133370770
91020144833080185
10211022102000120
1161268a75276064
121b8015b6bb2988
1390993b66c8bc8
143a1774a6cc78c
15195e280cc4465
hexbfec696df1f8

211022102000120 has 64 divisors (see below), whose sum is σ = 478958270214240. Its totient is φ = 83672657510400.

The previous prime is 211022102000111. The next prime is 211022102000123. The reversal of 211022102000120 is 21000201220112.

It is a junction number, because it is equal to n+sod(n) for n = 211022102000095 and 211022102000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211022102000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46468526 + ... + 50807165.

Almost surely, 2211022102000120 is an apocalyptic number.

211022102000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022102000120 is an abundant number, since it is smaller than the sum of its proper divisors (267936168214120).

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

211022102000120 is a wasteful number, since it uses less digits than its factorization.

211022102000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97276176 (or 97276172 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211022102000120 its reverse (21000201220112), we get a palindrome (232022303220232).

The spelling of 211022102000120 in words is "two hundred eleven trillion, twenty-two billion, one hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 193 281 386 562 772 965 1124 1405 1544 1930 2248 2810 3860 5620 7720 11240 54233 108466 216932 271165 433864 542330 1084660 2169320 97275691 194551382 389102764 486378455 778205528 972756910 1945513820 3891027640 18774208363 27334469171 37548416726 54668938342 75096833452 93871041815 109337876684 136672345855 150193666904 187742083630 218675753368 273344691710 375484167260 546689383420 750968334520 1093378766840 5275552550003 10551105100006 21102210200012 26377762750015 42204420400024 52755525500030 105511051000060 211022102000120