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131202120213 = 32371741922619
BaseRepresentation
bin111101000110001000…
…0010111101000010101
3110112122200221021112200
41322030100113220111
54122200220321323
6140135020435113
712323211423003
oct1721420275025
9415580837480
10131202120213
11507081a390a
12215173a8a99
13c4abc5c078
1464c8dcba73
15362d66c443
hex1e8c417a15

131202120213 has 24 divisors (see below), whose sum is σ = 194655957600. Its totient is φ = 85095429984.

The previous prime is 131202120197. The next prime is 131202120223. The reversal of 131202120213 is 312021202131.

131202120213 is a `hidden beast` number, since 131 + 202 + 120 + 213 = 666.

It is not a de Polignac number, because 131202120213 - 24 = 131202120197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202120223) 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, 5789218 + ... + 5811836.

It is an arithmetic number, because the mean of its divisors is an integer number (8110664900).

Almost surely, 2131202120213 is an apocalyptic number.

It is an amenable number.

131202120213 is a deficient number, since it is larger than the sum of its proper divisors (63453837387).

131202120213 is a wasteful number, since it uses less digits than its factorization.

131202120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40081 (or 40078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131202120213 its reverse (312021202131), we get a palindrome (443223322344).

The spelling of 131202120213 in words is "one hundred thirty-one billion, two hundred two million, one hundred twenty thousand, two hundred thirteen".

Divisors: 1 3 9 37 111 333 17419 22619 52257 67857 156771 203571 644503 836903 1933509 2510709 5800527 7532127 394000361 1182001083 3546003249 14578013357 43734040071 131202120213