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22131200313 = 323766460061
BaseRepresentation
bin10100100111000111…
…110101000100111001
32010010100202110110200
4110213013311010321
5330311041402223
614100020232413
71412301045615
oct244707650471
963110673420
1022131200313
1194275383a2
12435783b709
13211909ac01
1410dd374345
15897de7a43
hex5271f5139

22131200313 has 12 divisors (see below), whose sum is σ = 32831270628. Its totient is φ = 14355372960.

The previous prime is 22131200303. The next prime is 22131200317. The reversal of 22131200313 is 31300213122.

22131200313 is a `hidden beast` number, since 22 + 131 + 200 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16332073209 + 5799127104 = 127797^2 + 76152^2 .

It is not a de Polignac number, because 22131200313 - 210 = 22131199289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22131200317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33229698 + ... + 33230363.

It is an arithmetic number, because the mean of its divisors is an integer number (2735939219).

Almost surely, 222131200313 is an apocalyptic number.

It is an amenable number.

22131200313 is a deficient number, since it is larger than the sum of its proper divisors (10700070315).

22131200313 is a wasteful number, since it uses less digits than its factorization.

22131200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66460104 (or 66460101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22131200313 its reverse (31300213122), we get a palindrome (53431413435).

The spelling of 22131200313 in words is "twenty-two billion, one hundred thirty-one million, two hundred thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 66460061 199380183 598140549 2459022257 7377066771 22131200313