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211311032994 = 23241362379031
BaseRepresentation
bin1100010011001100011…
…1100111101010100010
3202012102121222200210100
43010303013213222202
511430231111023434
6241024104443230
721160325100405
oct3046307475242
9665377880710
10211311032994
1181686629756
1234b53779516
1316c078083c9
14a3283d7d3c
15576b4a1699
hex31331e7aa2

211311032994 has 48 divisors (see below), whose sum is σ = 469142803584. Its totient is φ = 68699198400.

The previous prime is 211311032993. The next prime is 211311033007. The reversal of 211311032994 is 499230113112.

It is a happy number.

211311032994 is a `hidden beast` number, since 2 + 11 + 311 + 0 + 329 + 9 + 4 = 666.

211311032994 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211311032993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2634259 + ... + 2713289.

It is an arithmetic number, because the mean of its divisors is an integer number (9773808408).

Almost surely, 2211311032994 is an apocalyptic number.

211311032994 is an abundant number, since it is smaller than the sum of its proper divisors (257831770590).

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

211311032994 is a wasteful number, since it uses less digits than its factorization.

211311032994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82703 (or 82700 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 211311032994 in words is "two hundred eleven billion, three hundred eleven million, thirty-two thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 3623 7246 10869 21738 32607 65214 79031 148543 158062 237093 297086 445629 474186 711279 891258 1336887 1422558 2673774 3240271 6480542 9720813 19441626 29162439 58324878 286329313 572658626 858987939 1717975878 2576963817 5153927634 11739501833 23479003666 35218505499 70437010998 105655516497 211311032994