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10254015112 = 23112329971801
BaseRepresentation
bin10011000110010111…
…11101101010001000
3222110121201221100111
421203023331222020
5132000011440422
64413255044104
7512050455535
oct114313755210
928417657314
1010254015112
114392140360
121ba2070634
13c75507583
146d3ba5d8c
15400336a77
hex2632fda88

10254015112 has 128 divisors (see below), whose sum is σ = 22886841600. Its totient is φ = 4257792000.

The previous prime is 10254015059. The next prime is 10254015139. The reversal of 10254015112 is 21151045201.

10254015112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5692612 + ... + 5694412.

It is an arithmetic number, because the mean of its divisors is an integer number (178803450).

Almost surely, 210254015112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254015112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443420800).

10254015112 is an abundant number, since it is smaller than the sum of its proper divisors (12632826488).

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

10254015112 is a wasteful number, since it uses less digits than its factorization.

10254015112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The spelling of 10254015112 in words is "ten billion, two hundred fifty-four million, fifteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 29 44 46 58 88 92 97 116 184 194 232 253 319 388 506 638 667 776 1012 1067 1276 1334 1801 2024 2134 2231 2552 2668 2813 3602 4268 4462 5336 5626 7204 7337 8536 8924 11252 14408 14674 17848 19811 22504 24541 29348 30943 39622 41423 49082 52229 58696 61886 64699 79244 82846 98164 104458 123772 129398 158488 165692 174697 196328 208916 247544 258796 331384 349394 417832 455653 517592 574519 698788 711689 911306 1149038 1201267 1397576 1423378 1822612 1921667 2298076 2402534 2846756 3645224 3843334 4018031 4596152 4805068 5066213 5693512 7686668 8036062 9610136 10132426 13213937 15373336 16072124 20264852 26427874 32144248 40529704 44198341 52855748 55728343 88396682 105711496 111456686 116522899 176793364 222913372 233045798 353586728 445826744 466091596 932183192 1281751889 2563503778 5127007556 10254015112