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10132311213 = 3237101419719
BaseRepresentation
bin10010110111110111…
…01100110010101101
3222011010201201222200
421123323230302231
5131222332424323
64353230332113
7506042136633
oct113373546255
928133651880
1010132311213
11432a475422
121b6935a039
13c56234c2b
146c1965353
153e47e6443
hex25beeccad

10132311213 has 48 divisors (see below), whose sum is σ = 15237331200. Its totient is φ = 6482678400.

The previous prime is 10132311191. The next prime is 10132311221. The reversal of 10132311213 is 31211323101.

10132311213 is a `hidden beast` number, since 10 + 132 + 311 + 213 = 666.

It is not a de Polignac number, because 10132311213 - 214 = 10132294829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132311283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14091868 + ... + 14092586.

It is an arithmetic number, because the mean of its divisors is an integer number (317444400).

Almost surely, 210132311213 is an apocalyptic number.

It is an amenable number.

10132311213 is a deficient number, since it is larger than the sum of its proper divisors (5105019987).

10132311213 is a wasteful number, since it uses less digits than its factorization.

10132311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10132311213 its reverse (31211323101), we get a palindrome (41343634314).

The spelling of 10132311213 in words is "ten billion, one hundred thirty-two million, three hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 9 37 101 111 303 333 419 719 909 1257 2157 3737 3771 6471 11211 15503 26603 33633 42319 46509 72619 79809 126957 139527 217857 239427 301261 380871 653571 903783 1565803 2686903 2711349 4697409 8060709 11146657 14092227 24182127 30427361 33439971 91282083 100319913 273846249 1125812357 3377437071 10132311213