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212112110000331 = 321131013205889911
BaseRepresentation
bin110000001110101000110010…
…111110000001100011001011
31000211000201102122110021001100
4300032220302332001203023
5210300221100130002311
62031042542541552443
762451410551525122
oct6016506276014313
91024021378407040
10212112110000331
1161649271386792
121b9588b8575723
139148117358268
143a543d0b16ab9
15197c7c9447a56
hexc0ea32f818cb

212112110000331 has 24 divisors (see below), whose sum is σ = 309400653478176. Its totient is φ = 140018315754240.

The previous prime is 212112110000321. The next prime is 212112110000377. The reversal of 212112110000331 is 133000011211212.

212112110000331 is a `hidden beast` number, since 2 + 1 + 211 + 21 + 100 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 212112110000331 - 223 = 212112101611723 is a prime.

It is a super-2 number, since 2×2121121100003312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212112110000321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101914735 + ... + 103975176.

It is an arithmetic number, because the mean of its divisors is an integer number (12891693894924).

Almost surely, 2212112110000331 is an apocalyptic number.

212112110000331 is a deficient number, since it is larger than the sum of its proper divisors (97288543477845).

212112110000331 is a wasteful number, since it uses less digits than its factorization.

212112110000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205891043 (or 205891040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212112110000331 its reverse (133000011211212), we get a palindrome (345112121211543).

The spelling of 212112110000331 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred ten million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 113 339 1013 1017 3039 9117 114469 343407 1030221 205889911 617669733 1853009199 23265559943 69796679829 208566479843 209390039487 625699439529 1877098318587 23568012222259 70704036666777 212112110000331