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10024241313 = 331432506687
BaseRepresentation
bin10010101010111110…
…11100100010100001
3221212121101012221210
421111133130202201
5131012201210223
64334410140333
7503260434222
oct112537344241
927777335853
1010024241313
114284471959
121b391216a9
13c39a27248
146b1473249
153da09a893
hex2557dc8a1

10024241313 has 16 divisors (see below), whose sum is σ = 14117666816. Its totient is φ = 6316848720.

The previous prime is 10024241309. The next prime is 10024241323. The reversal of 10024241313 is 31314242001.

10024241313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10024241313 - 22 = 10024241309 is a prime.

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 10024241313.

It is not an unprimeable number, because it can be changed into a prime (10024241323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249345 + ... + 1257342.

It is an arithmetic number, because the mean of its divisors is an integer number (882354176).

Almost surely, 210024241313 is an apocalyptic number.

It is an amenable number.

10024241313 is a deficient number, since it is larger than the sum of its proper divisors (4093425503).

10024241313 is a wasteful number, since it uses less digits than its factorization.

10024241313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506764.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10024241313 its reverse (31314242001), we get a palindrome (41338483314).

The spelling of 10024241313 in words is "ten billion, twenty-four million, two hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 31 43 93 129 1333 3999 2506687 7520061 77707297 107787541 233121891 323362623 3341413771 10024241313