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10010432313 = 3272137223743
BaseRepresentation
bin10010101001010101…
…10001001100111001
3221211122101122120100
421110222301030321
5131000132313223
64333154150013
7503032161600
oct112452611471
927748348510
1010010432313
11427769aa62
121b34582309
13c36c00a3b
146ad6baa37
153d8c6e043
hex254ab1339

10010432313 has 72 divisors (see below), whose sum is σ = 17041909248. Its totient is φ = 5645420928.

The previous prime is 10010432297. The next prime is 10010432323. The reversal of 10010432313 is 31323401001.

It is not a de Polignac number, because 10010432313 - 24 = 10010432297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010432323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13472620 + ... + 13473362.

It is an arithmetic number, because the mean of its divisors is an integer number (236693184).

Almost surely, 210010432313 is an apocalyptic number.

It is an amenable number.

10010432313 is a deficient number, since it is larger than the sum of its proper divisors (7031476935).

10010432313 is a wasteful number, since it uses less digits than its factorization.

10010432313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10010432313 its reverse (31323401001), we get a palindrome (41333833314).

The spelling of 10010432313 in words is "ten billion, ten million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 137 147 223 411 441 669 743 959 1233 1561 2007 2229 2877 4683 5201 6687 6713 8631 10927 14049 15603 20139 30551 32781 36407 46809 60417 91653 98343 101791 109221 165689 213857 274959 305373 327663 497067 641571 712537 916119 1159823 1491201 1496999 1924713 2137611 3479469 4490997 4987759 6412833 8118761 10438407 13472991 14963277 22699393 24356283 44889831 68098179 73068849 158895751 204294537 476687253 1112270257 1430061759 3336810771 10010432313