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10125185112 = 2333737917669
BaseRepresentation
bin10010110111000001…
…00001000001011000
3222010122022200211000
421123200201001120
5131214021410422
64352413505000
7505624440060
oct113340410130
928118280730
1010125185112
114326448489
121b66aa2160
13c5490b4c3
146c0a2c3a0
153e3d89cac
hex25b821058

10125185112 has 128 divisors (see below), whose sum is σ = 32230080000. Its totient is φ = 2885113728.

The previous prime is 10125185041. The next prime is 10125185123. The reversal of 10125185112 is 21158152101.

10125185112 is a `hidden beast` number, since 10 + 125 + 18 + 511 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564214 + ... + 581882.

It is an arithmetic number, because the mean of its divisors is an integer number (251797500).

Almost surely, 210125185112 is an apocalyptic number.

10125185112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125185112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16115040000).

10125185112 is an abundant number, since it is smaller than the sum of its proper divisors (22104894888).

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

10125185112 is a wasteful number, since it uses less digits than its factorization.

10125185112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18070 (or 18060 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 27.

The spelling of 10125185112 in words is "ten billion, one hundred twenty-five million, one hundred eighty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 379 504 756 758 1137 1512 1516 2274 2653 3032 3411 4548 5306 6822 7959 9096 10233 10612 13644 15918 17669 20466 21224 23877 27288 31836 35338 40932 47754 53007 63672 70676 71631 81864 95508 106014 123683 141352 143262 159021 191016 212028 247366 286524 318042 371049 424056 477063 494732 573048 636084 742098 954126 989464 1113147 1272168 1484196 1908252 2226294 2968392 3339441 3816504 4452588 6678882 6696551 8905176 13357764 13393102 20089653 26715528 26786204 40179306 46875857 53572408 60268959 80358612 93751714 120537918 140627571 160717224 180806877 187503428 241075836 281255142 361613754 375006856 421882713 482151672 562510284 723227508 843765426 1125020568 1265648139 1446455016 1687530852 2531296278 3375061704 5062592556 10125185112