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1137900961 is a prime number
BaseRepresentation
bin100001111010010…
…1111110110100001
32221022011100200001
41003310233312201
54312300312321
6304525100001
740124666341
oct10364576641
92838140601
101137900961
1153435191a
122790b7601
13151990ca2
14ab1a6d21
1569d70c91
hex43d2fda1

1137900961 has 2 divisors, whose sum is σ = 1137900962. Its totient is φ = 1137900960.

The previous prime is 1137900947. The next prime is 1137901007. The reversal of 1137900961 is 1690097311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 673713936 + 464187025 = 25956^2 + 21545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1137900961 - 223 = 1129512353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1137900961.

It is not a weakly prime, because it can be changed into another prime (1137900761) 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, 568950480 + 568950481.

It is an arithmetic number, because the mean of its divisors is an integer number (568950481).

Almost surely, 21137900961 is an apocalyptic number.

It is an amenable number.

1137900961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1137900961 is an equidigital number, since it uses as much as digits as its factorization.

1137900961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 1137900961 is about 33732.7876256914. The cubic root of 1137900961 is about 1044.0023784217.

The spelling of 1137900961 in words is "one billion, one hundred thirty-seven million, nine hundred thousand, nine hundred sixty-one".