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131320413 = 3371275471
BaseRepresentation
bin1111101001111…
…00101001011101
3100011002202202000
413310330221131
5232104223123
621010352513
73153130230
oct764745135
9304082660
10131320413
1168143a74
1237b8b739
132128b7b3
1413625417
15b7deb43
hex7d3ca5d

131320413 has 32 divisors (see below), whose sum is σ = 224133120. Its totient is φ = 74435760.

The previous prime is 131320411. The next prime is 131320447. The reversal of 131320413 is 314023131.

It is not a de Polignac number, because 131320413 - 21 = 131320411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21268 + ... + 26738.

It is an arithmetic number, because the mean of its divisors is an integer number (7004160).

Almost surely, 2131320413 is an apocalyptic number.

It is an amenable number.

131320413 is a deficient number, since it is larger than the sum of its proper divisors (92812707).

131320413 is a wasteful number, since it uses less digits than its factorization.

131320413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131320413 is about 11459.5119006003. The cubic root of 131320413 is about 508.2890415469.

Adding to 131320413 its reverse (314023131), we get a palindrome (445343544).

The spelling of 131320413 in words is "one hundred thirty-one million, three hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 63 127 189 381 889 1143 2667 3429 5471 8001 16413 24003 38297 49239 114891 147717 344673 694817 1034019 2084451 4863719 6253353 14591157 18760059 43773471 131320413