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131323413 = 3133539539
BaseRepresentation
bin1111101001111…
…01011000010101
3100011002220212010
413310331120111
5232104322123
621010414433
73153142044
oct764753025
9304086763
10131323413
1168146251
1237b91419
132128cc80
141362655b
15b7e0993
hex7d3d615

131323413 has 16 divisors (see below), whose sum is σ = 189120960. Its totient is φ = 80577024.

The previous prime is 131323411. The next prime is 131323441. The reversal of 131323413 is 314323131.

It is not a de Polignac number, because 131323413 - 21 = 131323411 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131323413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323411) 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, 8998 + ... + 18536.

It is an arithmetic number, because the mean of its divisors is an integer number (11820060).

Almost surely, 2131323413 is an apocalyptic number.

131323413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131323413 is a deficient number, since it is larger than the sum of its proper divisors (57797547).

131323413 is a wasteful number, since it uses less digits than its factorization.

131323413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9908.

The product of its digits is 648, while the sum is 21.

The square root of 131323413 is about 11459.6427954801. The cubic root of 131323413 is about 508.2929121193.

Adding to 131323413 its reverse (314323131), we get a palindrome (445646544).

The spelling of 131323413 in words is "one hundred thirty-one million, three hundred twenty-three thousand, four hundred thirteen".

Divisors: 1 3 13 39 353 1059 4589 9539 13767 28617 124007 372021 3367267 10101801 43774471 131323413