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131331431 = 71114911447
BaseRepresentation
bin1111101001111…
…11010101100111
3100011010022212002
413310333111213
5232110101211
621010515515
73153204320
oct764772547
9304108762
10131331431
1168151280
1237b95b9b
132129380a
1413629447
15b7e303b
hex7d3f567

131331431 has 16 divisors (see below), whose sum is σ = 164851200. Its totient is φ = 101640480.

The previous prime is 131331427. The next prime is 131331433. The reversal of 131331431 is 134133131.

It is a cyclic number.

It is not a de Polignac number, because 131331431 - 22 = 131331427 is a prime.

It is a super-2 number, since 2×1313314312 = 34495889537015522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331433) 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, 5750 + ... + 17196.

It is an arithmetic number, because the mean of its divisors is an integer number (10303200).

Almost surely, 2131331431 is an apocalyptic number.

131331431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131331431 is a deficient number, since it is larger than the sum of its proper divisors (33519769).

131331431 is a wasteful number, since it uses less digits than its factorization.

131331431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614.

The product of its digits is 324, while the sum is 20.

The square root of 131331431 is about 11459.9926265247. The cubic root of 131331431 is about 508.3032565799.

Adding to 131331431 its reverse (134133131), we get a palindrome (265464562).

The spelling of 131331431 in words is "one hundred thirty-one million, three hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 7 11 77 149 1043 1639 11447 11473 80129 125917 881419 1705603 11939221 18761633 131331431