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10125320688 = 2432731324031
BaseRepresentation
bin10010110111000010…
…00010000111110000
3222010122120120210100
421123201002013300
5131214040230223
64352420432400
7505625543250
oct113341020760
928118516710
1010125320688
11432653032a
121b66b48700
13c54958122
146c0a65960
153e3db5043
hex25b8421f0

10125320688 has 120 divisors (see below), whose sum is σ = 33429733376. Its totient is φ = 2799619200.

The previous prime is 10125320687. The next prime is 10125320693. The reversal of 10125320688 is 88602352101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125320687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130768 + ... + 193263.

Almost surely, 210125320688 is an apocalyptic number.

10125320688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10125320688 is an abundant number, since it is smaller than the sum of its proper divisors (23304412688).

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

10125320688 is a wasteful number, since it uses less digits than its factorization.

10125320688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324083 (or 324074 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 10125320688 its reverse (88602352101), we get a palindrome (98727672789).

The spelling of 10125320688 in words is "ten billion, one hundred twenty-five million, three hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7812 10416 15624 31248 324031 648062 972093 1296124 1944186 2268217 2592248 2916279 3888372 4536434 5184496 5832558 6804651 7776744 9072868 10044961 11665116 13609302 15553488 18145736 20089922 20413953 23330232 27218604 30134883 36291472 40179844 40827906 46660464 54437208 60269766 70314727 80359688 81655812 90404649 108874416 120539532 140629454 160719376 163311624 180809298 210944181 241079064 281258908 326623248 361618596 421888362 482158128 562517816 632832543 723237192 843776724 1125035632 1265665086 1446474384 1687553448 2531330172 3375106896 5062660344 10125320688