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212112201331311 = 31910313609376033
BaseRepresentation
bin110000001110101000111000…
…011010011011001001101111
31000211000201200000022100121020
4300032220320122123021233
5210300221242020100221
62031043000003305223
762451413041033161
oct6016507032331157
91024021600270536
10212112201331311
1161649308997036
121b95892307b213
139148130254c68
143a543dcccc931
15197c7d2488ac6
hexc0ea3869b26f

212112201331311 has 16 divisors (see below), whose sum is σ = 297990085367040. Its totient is φ = 133835663266560.

The previous prime is 212112201331309. The next prime is 212112201331313. The reversal of 212112201331311 is 113133102211212.

212112201331311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212112201331309) and next prime (212112201331313).

It is not a de Polignac number, because 212112201331311 - 21 = 212112201331309 is a prime.

It is a super-2 number, since 2×2121122013313112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112201331313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1804629250 + ... + 1804746783.

It is an arithmetic number, because the mean of its divisors is an integer number (18624380335440).

Almost surely, 2212112201331311 is an apocalyptic number.

212112201331311 is a deficient number, since it is larger than the sum of its proper divisors (85877884035729).

212112201331311 is a wasteful number, since it uses less digits than its factorization.

212112201331311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609377086.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 212112201331311 its reverse (113133102211212), we get a palindrome (325245303542523).

The spelling of 212112201331311 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 19 57 1031 3093 19589 58767 3609376033 10828128099 68578144627 205734433881 3721266690023 11163800070069 70704067110437 212112201331311