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10557116001 = 3210116676967
BaseRepresentation
bin10011101010100000…
…01100111001100001
31000020202002001121100
421311100030321201
5133110110203001
64503323345013
7522421001565
oct116520147141
930222061540
1010557116001
114528242563
122067682169
13cc324c903
147221456a5
1541bc59586
hex27540ce61

10557116001 has 24 divisors (see below), whose sum is σ = 15411599424. Its totient is φ = 6963213600.

The previous prime is 10557115979. The next prime is 10557116023. The reversal of 10557116001 is 10061175501.

It is a happy number.

10557116001 is a `hidden beast` number, since 1 + 0 + 5 + 57 + 1 + 1 + 600 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10557115979) and next prime (10557116023).

It is not a de Polignac number, because 10557116001 - 219 = 10556591713 is a prime.

It is a super-2 number, since 2×105571160012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10557116041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1511820 + ... + 1518786.

It is an arithmetic number, because the mean of its divisors is an integer number (642149976).

Almost surely, 210557116001 is an apocalyptic number.

It is an amenable number.

10557116001 is a deficient number, since it is larger than the sum of its proper divisors (4854483423).

10557116001 is a wasteful number, since it uses less digits than its factorization.

10557116001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741 (or 8738 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 10557116001 in words is "ten billion, five hundred fifty-seven million, one hundred sixteen thousand, one".

Divisors: 1 3 9 101 303 909 1667 5001 6967 15003 20901 62703 168367 505101 703667 1515303 2111001 6333003 11613989 34841967 104525901 1173012889 3519038667 10557116001