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131552412345 = 3252923386941
BaseRepresentation
bin111101010000100100…
…0101000001010111001
3110120120010001222000100
41322201020220022321
54123404404143340
6140233452430013
712334664024604
oct1724110501271
9416503058010
10131552412345
11508779a8542
12215b4778309
13c5366b8213
14651d73333b
15364e2b2830
hex1ea12282b9

131552412345 has 12 divisors (see below), whose sum is σ = 228024181476. Its totient is φ = 70161286560.

The previous prime is 131552412317. The next prime is 131552412367. The reversal of 131552412345 is 543214255131.

131552412345 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 524 + 123 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 88930396944 + 42622015401 = 298212^2 + 206451^2 .

It is not a de Polignac number, because 131552412345 - 29 = 131552411833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1461693426 + ... + 1461693515.

It is an arithmetic number, because the mean of its divisors is an integer number (19002015123).

Almost surely, 2131552412345 is an apocalyptic number.

131552412345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131552412345 is a deficient number, since it is larger than the sum of its proper divisors (96471769131).

131552412345 is a wasteful number, since it uses less digits than its factorization.

131552412345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923386952 (or 2923386949 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 131552412345 its reverse (543214255131), we get a palindrome (674766667476).

The spelling of 131552412345 in words is "one hundred thirty-one billion, five hundred fifty-two million, four hundred twelve thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 2923386941 8770160823 14616934705 26310482469 43850804115 131552412345