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131008117 is a prime number
BaseRepresentation
bin1111100111100…
…00011001110101
3100010111220100111
413303300121311
5232014224432
620555543021
73150356602
oct763603165
9303456314
10131008117
1167a50379
1237a5aa71
13211ac5c6
14135836a9
15b77c347
hex7cf0675

131008117 has 2 divisors, whose sum is σ = 131008118. Its totient is φ = 131008116.

The previous prime is 131008099. The next prime is 131008121. The reversal of 131008117 is 711800131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 8994001 = 11046^2 + 2999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131008117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131008127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65504058 + 65504059.

It is an arithmetic number, because the mean of its divisors is an integer number (65504059).

Almost surely, 2131008117 is an apocalyptic number.

It is an amenable number.

131008117 is a deficient number, since it is larger than the sum of its proper divisors (1).

131008117 is an equidigital number, since it uses as much as digits as its factorization.

131008117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 22.

The square root of 131008117 is about 11445.8777295584. The cubic root of 131008117 is about 507.8857972248.

Adding to 131008117 its reverse (711800131), we get a palindrome (842808248).

The spelling of 131008117 in words is "one hundred thirty-one million, eight thousand, one hundred seventeen".