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131937041 is a prime number
BaseRepresentation
bin1111101110100…
…11001100010001
3100012021002121002
413313103030101
5232233441131
621031511345
73161306045
oct767231421
9305232532
10131937041
1168525285
1238228555
1321446372
1413746025
15b8b26cb
hex7dd3311

131937041 has 2 divisors, whose sum is σ = 131937042. Its totient is φ = 131937040.

The previous prime is 131936999. The next prime is 131937059. The reversal of 131937041 is 140739131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112444816 + 19492225 = 10604^2 + 4415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131937041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131936995 and 131937013.

It is not a weakly prime, because it can be changed into another prime (131934041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65968520 + 65968521.

It is an arithmetic number, because the mean of its divisors is an integer number (65968521).

Almost surely, 2131937041 is an apocalyptic number.

It is an amenable number.

131937041 is a deficient number, since it is larger than the sum of its proper divisors (1).

131937041 is an equidigital number, since it uses as much as digits as its factorization.

131937041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 131937041 is about 11486.3850275010. The cubic root of 131937041 is about 509.0833733917.

The spelling of 131937041 in words is "one hundred thirty-one million, nine hundred thirty-seven thousand, forty-one".