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102871023168 = 263432289771
BaseRepresentation
bin101111111001110010…
…1110011111001000000
3100211112020222102122010
41133303211303321000
53141134440220133
6115131443012520
710301145161304
oct1376345637100
9324466872563
10102871023168
113a69a013321
1217b2b36a140
139915576114
144d9c491d04
152a21303263
hex17f3973e40

102871023168 has 84 divisors (see below), whose sum is σ = 278657505168. Its totient is φ = 33492775680.

The previous prime is 102871023139. The next prime is 102871023173. The reversal of 102871023168 is 861320178201.

It is a super-3 number, since 3×1028710231683 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210123 + ... + 499893.

It is an arithmetic number, because the mean of its divisors is an integer number (3317351252).

Almost surely, 2102871023168 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 102871023168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139328752584).

102871023168 is an abundant number, since it is smaller than the sum of its proper divisors (175786482000).

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

102871023168 is an equidigital number, since it uses as much as digits as its factorization.

102871023168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289872 (or 289819 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 102871023168 in words is "one hundred two billion, eight hundred seventy-one million, twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 1849 2064 2752 3698 4128 5547 7396 8256 11094 14792 22188 29584 44376 59168 88752 118336 177504 289771 355008 579542 869313 1159084 1738626 2318168 3477252 4636336 6954504 9272672 12460153 13909008 18545344 24920306 27818016 37380459 49840612 55636032 74760918 99681224 149521836 199362448 299043672 398724896 535786579 598087344 797449792 1071573158 1196174688 1607359737 2143146316 2392349376 3214719474 4286292632 6429438948 8572585264 12858877896 17145170528 25717755792 34290341056 51435511584 102871023168