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102685021128 = 23322362007863
BaseRepresentation
bin101111110100010000…
…0010001001111001000
3100211001021222112210200
41133220200101033020
53140244331134003
6115101200212200
710263426164304
oct1375040211710
9324037875720
10102685021128
113a604021228
1217a9900a060
1398b5b80341
144d818b4d04
152a0ed116a3
hex17e88113c8

102685021128 has 48 divisors (see below), whose sum is σ = 290196803520. Its totient is φ = 32740151136.

The previous prime is 102685021111. The next prime is 102685021177. The reversal of 102685021128 is 821120586201.

102685021128 is a `hidden beast` number, since 1 + 0 + 26 + 8 + 502 + 1 + 128 = 666.

102685021128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 102685021092 and 102685021101.

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, 31002276 + ... + 31005587.

It is an arithmetic number, because the mean of its divisors is an integer number (6045766740).

Almost surely, 2102685021128 is an apocalyptic number.

102685021128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102685021128 is an abundant number, since it is smaller than the sum of its proper divisors (187511782392).

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

102685021128 is a wasteful number, since it uses less digits than its factorization.

102685021128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62007898 (or 62007891 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 102685021128 in words is "one hundred two billion, six hundred eighty-five million, twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 62007863 124015726 186023589 248031452 372047178 496062904 558070767 744094356 1116141534 1426180849 1488188712 2232283068 2852361698 4278542547 4464566136 5704723396 8557085094 11409446792 12835627641 17114170188 25671255282 34228340376 51342510564 102685021128