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131656309 is a prime number
BaseRepresentation
bin1111101100011…
…10101001110101
3100011201211111121
413312032221311
5232201000214
621021503541
73156026431
oct766165165
9304654447
10131656309
1168353374
1238111bb1
1321378655
14136b19c1
15b859424
hex7d8ea75

131656309 has 2 divisors, whose sum is σ = 131656310. Its totient is φ = 131656308.

The previous prime is 131656297. The next prime is 131656321. The reversal of 131656309 is 903656131.

It is a balanced prime because it is at equal distance from previous prime (131656297) and next prime (131656321).

It can be written as a sum of positive squares in only one way, i.e., 78322500 + 53333809 = 8850^2 + 7303^2 .

It is a cyclic number.

It is not a de Polignac number, because 131656309 - 213 = 131648117 is a prime.

It is a super-3 number, since 3×1316563093 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131656379) 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 as a sum of consecutive naturals, namely, 65828154 + 65828155.

It is an arithmetic number, because the mean of its divisors is an integer number (65828155).

Almost surely, 2131656309 is an apocalyptic number.

It is an amenable number.

131656309 is a deficient number, since it is larger than the sum of its proper divisors (1).

131656309 is an equidigital number, since it uses as much as digits as its factorization.

131656309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 131656309 is about 11474.1583133579. The cubic root of 131656309 is about 508.7220458051.

The spelling of 131656309 in words is "one hundred thirty-one million, six hundred fifty-six thousand, three hundred nine".