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131132014431 = 31133773117659
BaseRepresentation
bin111101000100000010…
…0111011111101011111
3110112110211000112111020
41322020010323331133
54122024243430211
6140124034055223
712321400505655
oct1721004737537
9415424015436
10131132014431
1150681670350
12214b7a1a513
13c49a584362
1464bd97cdd5
153627420306
hex1e8813bf5f

131132014431 has 16 divisors (see below), whose sum is σ = 190744744320. Its totient is φ = 79470919520.

The previous prime is 131132014427. The next prime is 131132014441. The reversal of 131132014431 is 134410231131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131132014431 - 22 = 131132014427 is a prime.

It is a super-2 number, since 2×1311320144312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132014421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055680 + ... + 1173338.

It is an arithmetic number, because the mean of its divisors is an integer number (11921546520).

Almost surely, 2131132014431 is an apocalyptic number.

131132014431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131132014431 is a deficient number, since it is larger than the sum of its proper divisors (59612729889).

131132014431 is a wasteful number, since it uses less digits than its factorization.

131132014431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151446.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131132014431 its reverse (134410231131), we get a palindrome (265542245562).

The spelling of 131132014431 in words is "one hundred thirty-one billion, one hundred thirty-two million, fourteen thousand, four hundred thirty-one".

Divisors: 1 3 11 33 33773 101319 117659 352977 371503 1114509 1294249 3882747 3973697407 11921092221 43710671477 131132014431