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1137405313 = 11417273469
BaseRepresentation
bin100001111001011…
…0110110110000001
32221021020011202201
41003302312312001
54312133432223
6304510313201
740120533322
oct10362666601
92837204681
101137405313
115340434a0
12278ab8801
131518494c5
14ab0b8449
1569cc3ead
hex43cb6d81

1137405313 has 16 divisors (see below), whose sum is σ = 1273184640. Its totient is φ = 1007107200.

The previous prime is 1137405301. The next prime is 1137405319. The reversal of 1137405313 is 3135047311.

It is a de Polignac number, because none of the positive numbers 2k-1137405313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1137405319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326143 + ... + 329611.

It is an arithmetic number, because the mean of its divisors is an integer number (79574040).

Almost surely, 21137405313 is an apocalyptic number.

It is an amenable number.

1137405313 is a deficient number, since it is larger than the sum of its proper divisors (135779327).

1137405313 is a wasteful number, since it uses less digits than its factorization.

1137405313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1137405313 is about 33725.4401453858. The cubic root of 1137405313 is about 1043.8507738860.

The spelling of 1137405313 in words is "one billion, one hundred thirty-seven million, four hundred five thousand, three hundred thirteen".

Divisors: 1 11 41 451 727 3469 7997 29807 38159 142229 327877 1564519 2521963 27741593 103400483 1137405313