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12365352131 = 1113129329287
BaseRepresentation
bin10111000010000100…
…00100110011000011
31011220202120222020212
423201002010303003
5200311012232011
65403000224335
7615265521206
oct134102046303
934822528225
1012365352131
115275a12090
12249116b0ab
131220a64712
1485436393d
154c588d08b
hex2e1084cc3

12365352131 has 16 divisors (see below), whose sum is σ = 13639304448. Its totient is φ = 11116965600.

The previous prime is 12365352121. The next prime is 12365352163. The reversal of 12365352131 is 13125356321.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12365352131 is a prime.

It is a super-2 number, since 2×123653521312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12365352121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407570 + ... + 436856.

It is an arithmetic number, because the mean of its divisors is an integer number (852456528).

Almost surely, 212365352131 is an apocalyptic number.

12365352131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12365352131 is a deficient number, since it is larger than the sum of its proper divisors (1273952317).

12365352131 is a wasteful number, since it uses less digits than its factorization.

12365352131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29722.

The product of its digits is 16200, while the sum is 32.

The spelling of 12365352131 in words is "twelve billion, three hundred sixty-five million, three hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 11 131 293 1441 3223 29287 38383 322157 422213 3836597 8581091 42202567 94392001 1124122921 12365352131