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131402313 = 327101107193
BaseRepresentation
bin1111101010100…
…00101001001001
3100011020221002100
413311100221021
5232114333223
621012224013
73153621060
oct765205111
9304227070
10131402313
116819a559
123800b009
13212b9b63
14136471d7
15b809043
hex7d50a49

131402313 has 48 divisors (see below), whose sum is σ = 222258816. Its totient is φ = 73267200.

The previous prime is 131402291. The next prime is 131402351. The reversal of 131402313 is 313204131.

It is not a de Polignac number, because 131402313 - 210 = 131401289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131402213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680745 + ... + 680937.

It is an arithmetic number, because the mean of its divisors is an integer number (4630392).

Almost surely, 2131402313 is an apocalyptic number.

It is an amenable number.

131402313 is a deficient number, since it is larger than the sum of its proper divisors (90856503).

131402313 is a wasteful number, since it uses less digits than its factorization.

131402313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 411 counting only the distinct ones).

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

The square root of 131402313 is about 11463.0847942428. The cubic root of 131402313 is about 508.3946870196.

Adding to 131402313 its reverse (313204131), we get a palindrome (444606444).

The spelling of 131402313 in words is "one hundred thirty-one million, four hundred two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 101 107 193 303 321 579 707 749 909 963 1351 1737 2121 2247 4053 6363 6741 10807 12159 19493 20651 32421 58479 61953 75649 97263 136451 144557 175437 185859 226947 409353 433671 680841 1228059 1301013 2085751 6257253 14600257 18771759 43800771 131402313