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131461919 is a prime number
BaseRepresentation
bin1111101010111…
…11001100011111
3100011100221211222
413311133030133
5232123240134
621013403555
73154256621
oct765371437
9304327758
10131461919
1168230316
12380395bb
132130b024
1413660c11
15b81ba2e
hex7d5f31f

131461919 has 2 divisors, whose sum is σ = 131461920. Its totient is φ = 131461918.

The previous prime is 131461873. The next prime is 131461921. The reversal of 131461919 is 919164131.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131461919 is a prime.

It is a super-2 number, since 2×1314619192 = 34564472294325122, which contains 22 as substring.

Together with 131461921, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131461819) 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 as a sum of consecutive naturals, namely, 65730959 + 65730960.

It is an arithmetic number, because the mean of its divisors is an integer number (65730960).

Almost surely, 2131461919 is an apocalyptic number.

131461919 is a deficient number, since it is larger than the sum of its proper divisors (1).

131461919 is an equidigital number, since it uses as much as digits as its factorization.

131461919 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 35.

The square root of 131461919 is about 11465.6844104484. The cubic root of 131461919 is about 508.4715471402.

The spelling of 131461919 in words is "one hundred thirty-one million, four hundred sixty-one thousand, nine hundred nineteen".