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211237161732112 = 2429998094561237
BaseRepresentation
bin110000000001111001111011…
…111111010000100000010000
31000200221002000222221000021211
4300001321323333100200100
5210141402201400411422
62025133002404025504
762331244534125355
oct6001717377204020
91020832028830254
10211237161732112
11613411a494685a
121b837216092294
1390b376aa490a9
143a23d0c90262c
151964b6b40b577
hexc01e7bfd0810

211237161732112 has 40 divisors (see below), whose sum is σ = 423389163245400. Its totient is φ = 101975516762112.

The previous prime is 211237161732109. The next prime is 211237161732131.

211237161732112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 8947301369616 + 202289860362496 = 2991204^2 + 14222864^2 .

It is a super-2 number, since 2×2112371617321122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44030758 + ... + 48591994.

It is an arithmetic number, because the mean of its divisors is an integer number (10584729081135).

Almost surely, 2211237161732112 is an apocalyptic number.

It is an amenable number.

211237161732112 is an abundant number, since it is smaller than the sum of its proper divisors (212152001513288).

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

211237161732112 is a wasteful number, since it uses less digits than its factorization.

211237161732112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661083 (or 4661077 counting only the distinct ones).

The product of its digits is 42336, while the sum is 40.

The spelling of 211237161732112 in words is "two hundred eleven trillion, two hundred thirty-seven billion, one hundred sixty-one million, seven hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 99809 199618 399236 798472 1596944 2894461 4561237 5788922 9122474 11577844 18244948 23155688 36489896 46311376 72979792 132275873 264551746 529103492 1058206984 2116413968 455252503733 910505007466 1821010014932 3642020029864 7284040059728 13202322608257 26404645216514 52809290433028 105618580866056 211237161732112