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10213400659 = 7114716211741
BaseRepresentation
bin10011000001100010…
…00010000001010011
3222100210022111210111
421200301002001103
5131404112310114
64405244342151
7511045321210
oct114061020123
928323274714
1010213400659
1143712200a0
121b90544957
13c69c87157
146cc632b07
153eb9b2bc4
hex260c42053

10213400659 has 32 divisors (see below), whose sum is σ = 13020014592. Its totient is φ = 7779888000.

The previous prime is 10213400633. The next prime is 10213400671. The reversal of 10213400659 is 95600431201.

It is a cyclic number.

It is not a de Polignac number, because 10213400659 - 27 = 10213400531 is a prime.

It is a super-3 number, since 3×102134006593 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10213400659.

It is not an unprimeable number, because it can be changed into a prime (10213400609) 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 in 31 ways as a sum of consecutive naturals, for example, 5865529 + ... + 5867269.

It is an arithmetic number, because the mean of its divisors is an integer number (406875456).

Almost surely, 210213400659 is an apocalyptic number.

10213400659 is a deficient number, since it is larger than the sum of its proper divisors (2806613933).

10213400659 is a wasteful number, since it uses less digits than its factorization.

10213400659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 10213400659 in words is "ten billion, two hundred thirteen million, four hundred thousand, six hundred fifty-nine".

Divisors: 1 7 11 47 77 329 517 1621 1741 3619 11347 12187 17831 19151 76187 81827 124817 134057 533309 572789 838057 900097 2822161 5866399 6300679 19755127 31043771 132641567 217306397 928490969 1459057237 10213400659