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1057176133 = 131133831879
BaseRepresentation
bin111111000000110…
…011101001000101
32201200021010000121
4333000303221011
54131114114013
6252522541541
735124564106
oct7700635105
92650233017
101057176133
114a2826092
122560678b1
1313b038a10
14a05923ad
1562c2758d
hex3f033a45

1057176133 has 16 divisors (see below), whose sum is σ = 1152184320. Its totient is φ = 964180224.

The previous prime is 1057176119. The next prime is 1057176139. The reversal of 1057176133 is 3316717501.

1057176133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057176133 is a prime.

It is a super-2 number, since 2×10571761332 = 2235242752369667378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057176139) 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, 561688 + ... + 563566.

It is an arithmetic number, because the mean of its divisors is an integer number (72011520).

Almost surely, 21057176133 is an apocalyptic number.

1057176133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1057176133 is a deficient number, since it is larger than the sum of its proper divisors (95008187).

1057176133 is a wasteful number, since it uses less digits than its factorization.

1057176133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388.

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 1057176133 is about 32514.2450781192. The cubic root of 1057176133 is about 1018.7065923618.

The spelling of 1057176133 in words is "one billion, fifty-seven million, one hundred seventy-six thousand, one hundred thirty-three".

Divisors: 1 13 113 383 1469 1879 4979 24427 43279 212327 562627 719657 2760251 9355541 81321241 1057176133