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10512013014 = 23231137199691
BaseRepresentation
bin10011100101001000…
…01001011011010110
31000010121012120221100
421302210021123112
5133012033404024
64455032530530
7521332431156
oct116244113326
930117176840
1010512013014
114504836a68
122054550a46
13cb6aba459
1471a164766
15417cea7c9
hex2729096d6

10512013014 has 96 divisors (see below), whose sum is σ = 23835801600. Its totient is φ = 3344457600.

The previous prime is 10512012977. The next prime is 10512013021. The reversal of 10512013014 is 41031021501.

10512013014 is a `hidden beast` number, since 10 + 512 + 0 + 130 + 14 = 666.

It is a super-2 number, since 2×105120130142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15212409 + ... + 15213099.

It is an arithmetic number, because the mean of its divisors is an integer number (248289600).

Almost surely, 210512013014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10512013014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917900800).

10512013014 is an abundant number, since it is smaller than the sum of its proper divisors (13323788586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10512013014 is a wasteful number, since it uses less digits than its factorization.

10512013014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10512013014 its reverse (41031021501), we get a palindrome (51543034515).

The spelling of 10512013014 in words is "ten billion, five hundred twelve million, thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 137 186 199 274 279 398 411 558 597 691 822 1194 1233 1382 1791 2073 2466 3582 4146 4247 6169 6219 8494 12338 12438 12741 18507 21421 25482 27263 37014 38223 42842 54526 55521 64263 76446 81789 94667 111042 128526 137509 163578 189334 192789 245367 275018 284001 385578 412527 490734 568002 825054 845153 852003 1237581 1690306 1704006 2475162 2535459 2934677 4262779 5070918 5869354 7606377 8525558 8804031 12788337 15212754 17608062 18838733 25576674 26412093 37677466 38365011 52824186 56516199 76730022 113032398 169548597 339097194 584000723 1168001446 1752002169 3504004338 5256006507 10512013014