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10128502116 = 22341032231361
BaseRepresentation
bin10010110111011010…
…01010110101100100
3222010212120012220000
421123231022311210
5131220344031431
64353012541300
7505664563455
oct113355126544
928125505800
1010128502116
114328303607
121b68021830
13c55500225
146c125312c
153e42e29e6
hex25bb4ad64

10128502116 has 120 divisors (see below), whose sum is σ = 26874591744. Its totient is φ = 3325950720.

The previous prime is 10128502103. The next prime is 10128502129. The reversal of 10128502116 is 61120582101.

It is an interprime number because it is at equal distance from previous prime (10128502103) and next prime (10128502129).

It is a super-2 number, since 2×101285021162 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10128502116.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7441276 + ... + 7442636.

Almost surely, 210128502116 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 10128502116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437295872).

10128502116 is an abundant number, since it is smaller than the sum of its proper divisors (16746089628).

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

10128502116 is a wasteful number, since it uses less digits than its factorization.

10128502116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 10128502116 in words is "ten billion, one hundred twenty-eight million, five hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 223 309 324 412 446 618 669 892 927 1236 1338 1361 1854 2007 2676 2722 2781 3708 4014 4083 5444 5562 6021 8028 8166 8343 11124 12042 12249 16332 16686 18063 22969 24084 24498 33372 36126 36747 45938 48996 68907 72252 73494 91876 110241 137814 140183 146988 206721 220482 275628 280366 303503 413442 420549 440964 560732 607006 620163 826884 841098 910509 1214012 1240326 1261647 1682196 1821018 1860489 2480652 2523294 2731527 3642036 3720978 3784941 5046588 5463054 7441956 7569882 8194581 10926108 11354823 15139764 16389162 22709646 24583743 31260809 32778324 45419292 49167486 62521618 93782427 98334972 125043236 187564854 281347281 375129708 562694562 844041843 1125389124 1688083686 2532125529 3376167372 5064251058 10128502116