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131002313 = 1371141931
BaseRepresentation
bin1111100111011…
…10111111001001
3100010111121101112
413303232333021
5232014033223
620555500105
73150333641
oct763567711
9303447345
10131002313
1167a46a82
1237a57635
13211a9a80
1413581521
15b77a778
hex7ceefc9

131002313 has 8 divisors (see below), whose sum is σ = 143067456. Its totient is φ = 119221200.

The previous prime is 131002279. The next prime is 131002343. The reversal of 131002313 is 313200131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131002313 - 210 = 131001289 is a prime.

It is a super-2 number, since 2×1310023132 = 34323212022699938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131002343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70043 + ... + 71888.

It is an arithmetic number, because the mean of its divisors is an integer number (17883432).

Almost surely, 2131002313 is an apocalyptic number.

131002313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131002313 is a deficient number, since it is larger than the sum of its proper divisors (12065143).

131002313 is a wasteful number, since it uses less digits than its factorization.

131002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142015.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131002313 is about 11445.6241856877. The cubic root of 131002313 is about 507.8782968939.

Adding to 131002313 its reverse (313200131), we get a palindrome (444202444).

The spelling of 131002313 in words is "one hundred thirty-one million, two thousand, three hundred thirteen".

Divisors: 1 13 71 923 141931 1845103 10077101 131002313