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213507968211 = 32792691116329
BaseRepresentation
bin1100011011011000010…
…0010000110011010011
3202102002201220120100100
43012312010100303103
511444231014440321
6242030104423443
721265632533346
oct3066604206323
9672081816310
10213507968211
118260375569a
1235467477b83
1317197a05a85
14a4960b845d
1558492b5326
hex31b6110cd3

213507968211 has 24 divisors (see below), whose sum is σ = 313465464000. Its totient is φ = 140014323072.

The previous prime is 213507968209. The next prime is 213507968309. The reversal of 213507968211 is 112869705312.

213507968211 is a `hidden beast` number, since 21 + 350 + 7 + 9 + 68 + 211 = 666.

It is not a de Polignac number, because 213507968211 - 21 = 213507968209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213507968711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366906 + ... + 749423.

It is an arithmetic number, because the mean of its divisors is an integer number (13061061000).

Almost surely, 2213507968211 is an apocalyptic number.

213507968211 is a deficient number, since it is larger than the sum of its proper divisors (99957495789).

213507968211 is a wasteful number, since it uses less digits than its factorization.

213507968211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116683 (or 1116680 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 213507968211 in words is "two hundred thirteen billion, five hundred seven million, nine hundred sixty-eight thousand, two hundred eleven".

Divisors: 1 3 9 79 237 269 711 807 2421 21251 63753 191259 1116329 3348987 10046961 88189991 264569973 300292501 793709919 900877503 2702632509 23723107579 71169322737 213507968211