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10024432313 = 71725219511
BaseRepresentation
bin10010101011000000…
…01011001010111001
3221212121201220221212
421111200023022321
5131012223313223
64334414212505
7503262161120
oct112540131271
927777656855
1010024432313
114284592405
121b391b4135
13c39a9316c
146b14c2ab7
153da0d7278
hex25580b2b9

10024432313 has 24 divisors (see below), whose sum is σ = 12194688384. Its totient is φ = 8070566400.

The previous prime is 10024432307. The next prime is 10024432337. The reversal of 10024432313 is 31323442001.

It is not a de Polignac number, because 10024432313 - 28 = 10024432057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10024432513) 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, 1049228 + ... + 1058738.

It is an arithmetic number, because the mean of its divisors is an integer number (508112016).

Almost surely, 210024432313 is an apocalyptic number.

It is an amenable number.

10024432313 is a deficient number, since it is larger than the sum of its proper divisors (2170256071).

10024432313 is an equidigital number, since it uses as much as digits as its factorization.

10024432313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10024432313 its reverse (31323442001), we get a palindrome (41347874314).

The spelling of 10024432313 in words is "ten billion, twenty-four million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 7 17 119 289 521 2023 3647 8857 9511 61999 66577 150569 161687 1053983 1131809 2748679 4955231 19240753 34686617 84238927 589672489 1432061759 10024432313