Search a number
-
+
131904433 is a prime number
BaseRepresentation
bin1111101110010…
…11001110110001
3100012012102212101
413313023032301
5232231420213
621031100401
73161112013
oct767131661
9305172771
10131904433
1168502831
1238211701
132143457b
14137381b3
15b8a7bdd
hex7dcb3b1

131904433 has 2 divisors, whose sum is σ = 131904434. Its totient is φ = 131904432.

The previous prime is 131904431. The next prime is 131904469. The reversal of 131904433 is 334409131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88962624 + 42941809 = 9432^2 + 6553^2 .

It is a cyclic number.

It is not a de Polignac number, because 131904433 - 21 = 131904431 is a prime.

It is a super-4 number, since 4×1319044334 (a number of 34 digits) contains 4444 as substring.

Together with 131904431, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131904431) 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, 65952216 + 65952217.

It is an arithmetic number, because the mean of its divisors is an integer number (65952217).

Almost surely, 2131904433 is an apocalyptic number.

It is an amenable number.

131904433 is a deficient number, since it is larger than the sum of its proper divisors (1).

131904433 is an equidigital number, since it uses as much as digits as its factorization.

131904433 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 131904433 is about 11484.9655201920. The cubic root of 131904433 is about 509.0414302591.

The spelling of 131904433 in words is "one hundred thirty-one million, nine hundred four thousand, four hundred thirty-three".