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10020024313 = 132371471997
BaseRepresentation
bin10010101010011110…
…10110111111111001
3221212022102222022121
421111033112333321
5131010111234223
64334135521241
7503206541605
oct112517267771
927768388277
1010020024313
114282051632
121b37829221
13c38bab990
146b0a96505
153d9a1615d
hex2553d6ff9

10020024313 has 16 divisors (see below), whose sum is σ = 11418575616. Its totient is φ = 8722486080.

The previous prime is 10020024293. The next prime is 10020024331. The reversal of 10020024313 is 31342002001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10020024313 is a prime.

It is a super-2 number, since 2×100200243132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020324313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214770 + ... + 257227.

It is an arithmetic number, because the mean of its divisors is an integer number (713660976).

Almost surely, 210020024313 is an apocalyptic number.

10020024313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10020024313 is a deficient number, since it is larger than the sum of its proper divisors (1398551303).

10020024313 is a wasteful number, since it uses less digits than its factorization.

10020024313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472104.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10020024313 its reverse (31342002001), we get a palindrome (41362026314).

The spelling of 10020024313 in words is "ten billion, twenty million, twenty-four thousand, three hundred thirteen".

Divisors: 1 13 23 71 299 923 1633 21229 471997 6135961 10855931 33511787 141127103 435653231 770771101 10020024313