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10122085008 = 2432753189467
BaseRepresentation
bin10010110110101001…
…01100001010010000
3222010102111012021100
421123110230022100
5131212223210013
64352223224400
7505556205630
oct113324541220
928112435240
1010122085008
114324720312
121b65a48100
13c54094419
146c04626c0
153e3976473
hex25b52c290

10122085008 has 120 divisors (see below), whose sum is σ = 32985620928. Its totient is φ = 2837442816.

The previous prime is 10122084989. The next prime is 10122085009. The reversal of 10122085008 is 80058022101.

It is not an unprimeable number, because it can be changed into a prime (10122085009) 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, 41310 + ... + 148157.

Almost surely, 210122085008 is an apocalyptic number.

10122085008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10122085008 is an abundant number, since it is smaller than the sum of its proper divisors (22863535920).

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

10122085008 is a wasteful number, since it uses less digits than its factorization.

10122085008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189541 (or 189532 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10122085008 in words is "ten billion, one hundred twenty-two million, eighty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2968 3339 3816 4452 5936 6678 7632 8904 13356 17808 26712 53424 189467 378934 568401 757868 1136802 1326269 1515736 1705203 2273604 2652538 3031472 3410406 3978807 4547208 5305076 6820812 7957614 9094416 10041751 10610152 11936421 13641624 15915228 20083502 21220304 23872842 27283248 30125253 31830456 40167004 47745684 60250506 63660912 70292257 80334008 90375759 95491368 120501012 140584514 160668016 180751518 190982736 210876771 241002024 281169028 361503036 421753542 482004048 562338056 632630313 723006072 843507084 1124676112 1265260626 1446012144 1687014168 2530521252 3374028336 5061042504 10122085008