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102314606220 = 22335238237891
BaseRepresentation
bin101111101001001101…
…1001111111010001100
3100210002110222112002000
41133102123033322030
53134020014344340
6115000325032300
710251310542411
oct1372233177214
9323073875060
10102314606220
113a433a23002
12179b4b55690
1398571c9c18
144d48612108
1529dc543d30
hex17d26cfe8c

102314606220 has 96 divisors (see below), whose sum is σ = 332151805440. Its totient is φ = 26097635520.

The previous prime is 102314606129. The next prime is 102314606249. The reversal of 102314606220 is 22606413201.

102314606220 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 4 + 6 + 0 + 622 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4106526 + ... + 4131365.

It is an arithmetic number, because the mean of its divisors is an integer number (3459914640).

Almost surely, 2102314606220 is an apocalyptic number.

102314606220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102314606220 is an abundant number, since it is smaller than the sum of its proper divisors (229837199220).

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

102314606220 is a wasteful number, since it uses less digits than its factorization.

102314606220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8237932 (or 8237924 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 102314606220 in words is "one hundred two billion, three hundred fourteen million, six hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 8237891 16475782 24713673 32951564 41189455 49427346 74141019 82378910 98854692 123568365 148282038 164757820 189471493 222423057 247136730 296564076 370705095 378942986 444846114 494273460 568414479 741410190 757885972 889692228 947357465 1112115285 1136828958 1482820380 1705243437 1894714930 2224230570 2273657916 2842072395 3410486874 3789429860 4448461140 5115730311 5684144790 6820973748 8526217185 10231460622 11368289580 17052434370 20462921244 25578651555 34104868740 51157303110 102314606220