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131083541 is a prime number
BaseRepresentation
bin1111101000000…
…10110100010101
3100010122201210222
413310002310111
5232024133131
621001324125
73151122521
oct764026425
9303581728
10131083541
1167aa2006
1237a96645
1321207a34
14135a2d81
15b79487b
hex7d02d15

131083541 has 2 divisors, whose sum is σ = 131083542. Its totient is φ = 131083540.

The previous prime is 131083529. The next prime is 131083543. The reversal of 131083541 is 145380131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126652516 + 4431025 = 11254^2 + 2105^2 .

It is a cyclic number.

It is not a de Polignac number, because 131083541 - 210 = 131082517 is a prime.

Together with 131083543, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131083541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131083543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65541770 + 65541771.

It is an arithmetic number, because the mean of its divisors is an integer number (65541771).

Almost surely, 2131083541 is an apocalyptic number.

It is an amenable number.

131083541 is a deficient number, since it is larger than the sum of its proper divisors (1).

131083541 is an equidigital number, since it uses as much as digits as its factorization.

131083541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 131083541 is about 11449.1720661365. The cubic root of 131083541 is about 507.9832452056.

The spelling of 131083541 in words is "one hundred thirty-one million, eighty-three thousand, five hundred forty-one".