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131431431 = 3793531571
BaseRepresentation
bin1111101010101…
…11110000000111
3100011022102000210
413311113300013
5232121301211
621013010503
73154102005
oct765276007
9304272023
10131431431
116820a41a
1238023a33
13212ca1a1
1413653a75
15b8129a6
hex7d57c07

131431431 has 16 divisors (see below), whose sum is σ = 178076160. Its totient is φ = 86211840.

The previous prime is 131431423. The next prime is 131431439. The reversal of 131431431 is 134134131.

It is an interprime number because it is at equal distance from previous prime (131431423) and next prime (131431439).

It is not a de Polignac number, because 131431431 - 23 = 131431423 is a prime.

It is a super-2 number, since 2×1314314312 = 34548442109415522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131431398 and 131431407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131431439) 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, 82876 + ... + 84446.

It is an arithmetic number, because the mean of its divisors is an integer number (11129760).

Almost surely, 2131431431 is an apocalyptic number.

131431431 is a deficient number, since it is larger than the sum of its proper divisors (46644729).

131431431 is a wasteful number, since it uses less digits than its factorization.

131431431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006.

The product of its digits is 432, while the sum is 21.

The square root of 131431431 is about 11464.3548008599. The cubic root of 131431431 is about 508.4322366965.

Adding to 131431431 its reverse (134134131), we get a palindrome (265565562).

The spelling of 131431431 in words is "one hundred thirty-one million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 79 237 353 1059 1571 4713 27887 83661 124109 372327 554563 1663689 43810477 131431431