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3137618441 is a prime number
BaseRepresentation
bin1011101100000100…
…0100001000001001
322002122222112100102
42323001010020021
522411212242231
61235202015145
7140516213426
oct27301041011
98078875312
103137618441
1113701161a1
127369474b5
133b0069879
1421a9cad4d
151356c9acb
hexbb044209

3137618441 has 2 divisors, whose sum is σ = 3137618442. Its totient is φ = 3137618440.

The previous prime is 3137618399. The next prime is 3137618483. The reversal of 3137618441 is 1448167313.

It is a balanced prime because it is at equal distance from previous prime (3137618399) and next prime (3137618483).

It can be written as a sum of positive squares in only one way, i.e., 2683758025 + 453860416 = 51805^2 + 21304^2 .

It is a cyclic number.

It is not a de Polignac number, because 3137618441 - 214 = 3137602057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3137618395 and 3137618404.

It is not a weakly prime, because it can be changed into another prime (3137612441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1568809220 + 1568809221.

It is an arithmetic number, because the mean of its divisors is an integer number (1568809221).

Almost surely, 23137618441 is an apocalyptic number.

It is an amenable number.

3137618441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3137618441 is an equidigital number, since it uses as much as digits as its factorization.

3137618441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 38.

The square root of 3137618441 is about 56014.4485021499. The cubic root of 3137618441 is about 1463.9740421669.

The spelling of 3137618441 in words is "three billion, one hundred thirty-seven million, six hundred eighteen thousand, four hundred forty-one".