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131120313 = 3115337907
BaseRepresentation
bin1111101000010…
…11110010111001
3100010201121020220
413310023302321
5232031322223
621002210253
73151334652
oct764136271
9303647226
10131120313
11680176a5
1237ab3989
132121b6ac
14135b2529
15b7a06e3
hex7d0bcb9

131120313 has 8 divisors (see below), whose sum is σ = 174983328. Its totient is φ = 87335424.

The previous prime is 131120257. The next prime is 131120413. The reversal of 131120313 is 313021131.

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

It is not a de Polignac number, because 131120313 - 217 = 130989241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131120292 and 131120301.

It is not an unprimeable number, because it can be changed into a prime (131120413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15495 + ... + 22412.

It is an arithmetic number, because the mean of its divisors is an integer number (21872916).

Almost surely, 2131120313 is an apocalyptic number.

It is an amenable number.

131120313 is a deficient number, since it is larger than the sum of its proper divisors (43863015).

131120313 is a wasteful number, since it uses less digits than its factorization.

131120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39063.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131120313 is about 11450.7778338417. Note that the first 3 decimals coincide. The cubic root of 131120313 is about 508.0307411595.

Adding to 131120313 its reverse (313021131), we get a palindrome (444141444).

The spelling of 131120313 in words is "one hundred thirty-one million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 1153 3459 37907 113721 43706771 131120313