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10024230113 = 113255734693
BaseRepresentation
bin10010101010111110…
…11001110011100001
3221212121100122120222
421111133121303201
5131012200330423
64334410012425
7503260356452
oct112537316341
927777318528
1010024230113
1142844644a7
121b39117115
13c39a22111
146b146d129
153da0973c8
hex2557d9ce1

10024230113 has 8 divisors (see below), whose sum is σ = 10117186728. Its totient is φ = 9931348224.

The previous prime is 10024230107. The next prime is 10024230157. The reversal of 10024230113 is 31103242001.

It can be written as a sum of positive squares in 4 ways, for example, as 114425809 + 9909804304 = 10697^2 + 99548^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10024230113 - 214 = 10024213729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10024230091 and 10024230100.

It is not an unprimeable number, because it can be changed into a prime (10024230173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271595 + ... + 306287.

It is an arithmetic number, because the mean of its divisors is an integer number (1264648341).

Almost surely, 210024230113 is an apocalyptic number.

It is an amenable number.

10024230113 is a deficient number, since it is larger than the sum of its proper divisors (92956615).

10024230113 is a wasteful number, since it uses less digits than its factorization.

10024230113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37363.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10024230113 its reverse (31103242001), we get a palindrome (41127472114).

The spelling of 10024230113 in words is "ten billion, twenty-four million, two hundred thirty thousand, one hundred thirteen".

Divisors: 1 113 2557 34693 288941 3920309 88710001 10024230113