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131404431 = 3436116699
BaseRepresentation
bin1111101010100…
…01001010001111
3100011021000222210
413311101022033
5232114420211
621012241503
73153630204
oct765211217
9304230883
10131404431
11681a1104
1238010293
13212bab02
1413647cab
15b8099a6
hex7d5128f

131404431 has 16 divisors (see below), whose sum is σ = 182230400. Its totient is φ = 84157920.

The previous prime is 131404421. The next prime is 131404463. The reversal of 131404431 is 134404131.

It is not a de Polignac number, because 131404431 - 218 = 131142287 is a prime.

It is a super-2 number, since 2×1314044312 = 34534248972867522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131404398 and 131404407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404421) 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, 481 + ... + 16218.

It is an arithmetic number, because the mean of its divisors is an integer number (11389400).

Almost surely, 2131404431 is an apocalyptic number.

131404431 is a deficient number, since it is larger than the sum of its proper divisors (50825969).

131404431 is a wasteful number, since it uses less digits than its factorization.

131404431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16806.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 131404431 is about 11463.1771773798. The cubic root of 131404431 is about 508.3974185143.

Adding to 131404431 its reverse (134404131), we get a palindrome (265808562).

It can be divided in two parts, 13140 and 4431, that added together give a palindrome (17571).

The spelling of 131404431 in words is "one hundred thirty-one million, four hundred four thousand, four hundred thirty-one".

Divisors: 1 3 43 61 129 183 2623 7869 16699 50097 718057 1018639 2154171 3055917 43801477 131404431