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131553355131 = 32112120801979
BaseRepresentation
bin111101010000100110…
…0001110010101111011
3110120120011211212021100
41322201030032111323
54123410124331011
6140233524542443
712335005032342
oct1724114162573
9416504755240
10131553355131
1150878491900
12215b4b51a23
13c536958393
14651d8dab59
15364e3ebd56
hex1ea130e57b

131553355131 has 18 divisors (see below), whose sum is σ = 208866623420. Its totient is φ = 79729305480.

The previous prime is 131553355121. The next prime is 131553355151.

131553355131 is a `hidden beast` number, since 1 + 315 + 5 + 335 + 5 + 1 + 3 + 1 = 666.

131553355131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131553355131 - 25 = 131553355099 is a prime.

It is a super-2 number, since 2×1315533551312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131553355111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60399901 + ... + 60402078.

Almost surely, 2131553355131 is an apocalyptic number.

131553355131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131553355131 is a deficient number, since it is larger than the sum of its proper divisors (77313268289).

131553355131 is a wasteful number, since it uses less digits than its factorization.

131553355131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120802007 (or 120801993 counting only the distinct ones).

The product of its digits is 50625, while the sum is 36.

It can be divided in two parts, 131553 and 355131, that added together give a palindrome (486684).

The spelling of 131553355131 in words is "one hundred thirty-one billion, five hundred fifty-three million, three hundred fifty-five thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 120801979 362405937 1087217811 1328821769 3986465307 11959395921 14617039459 43851118377 131553355131