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131217357321 = 3315313317371
BaseRepresentation
bin111101000110100101…
…0011111101000001001
3110112200202121101221000
41322031022133220021
54122213120413241
6140140323205213
712323455064031
oct1721512375011
9415622541830
10131217357321
1150715860766
1221520516809
13c4b21655cb
1464cb0368c1
15362eb7beb6
hex1e8d29fa09

131217357321 has 16 divisors (see below), whose sum is σ = 194409392320. Its totient is φ = 87472249920.

The previous prime is 131217357269. The next prime is 131217357329. The reversal of 131217357321 is 123753712131.

131217357321 is a `hidden beast` number, since 1 + 3 + 12 + 1 + 73 + 573 + 2 + 1 = 666.

It is not a de Polignac number, because 131217357321 - 222 = 131213163017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131217357329) 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 15 ways as a sum of consecutive naturals, for example, 254766 + ... + 572136.

It is an arithmetic number, because the mean of its divisors is an integer number (12150587020).

Almost surely, 2131217357321 is an apocalyptic number.

It is an amenable number.

131217357321 is a deficient number, since it is larger than the sum of its proper divisors (63192034999).

131217357321 is a wasteful number, since it uses less digits than its factorization.

131217357321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332693 (or 332687 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The spelling of 131217357321 in words is "one hundred thirty-one billion, two hundred seventeen million, three hundred fifty-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 27 15313 45939 137817 317371 413451 952113 2856339 8569017 4859902123 14579706369 43739119107 131217357321