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102154545225250 = 2537264113009589
BaseRepresentation
bin10111001110100010110101…
…011000010101111000100010
3111101200212201220021021000021
4113032202311120111320202
5101342200002034202000
61001133052240144054
730342264601322200
oct2716426530257042
9441625656237007
10102154545225250
112a605554686111
12b55a29a60802a
13450019480925b
141b32440972070
15bc241a40011a
hex5ce8b5615e22

102154545225250 has 96 divisors (see below), whose sum is σ = 222802134263280. Its totient is φ = 34969772544000.

The previous prime is 102154545225247. The next prime is 102154545225281. The reversal of 102154545225250 is 52522545451201.

It can be written as a sum of positive squares in 8 ways, for example, as 15347143156849 + 86807402068401 = 3917543^2 + 9317049^2 .

It is a super-2 number, since 2×1021545452252502 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102154545225197 and 102154545225206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347456 + ... + 14357044.

Almost surely, 2102154545225250 is an apocalyptic number.

102154545225250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102154545225250 is an abundant number, since it is smaller than the sum of its proper divisors (120647589038030).

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

102154545225250 is a wasteful number, since it uses less digits than its factorization.

102154545225250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13010261 (or 13010244 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 43.

The spelling of 102154545225250 in words is "one hundred two trillion, one hundred fifty-four billion, five hundred forty-five million, two hundred twenty-five thousand, two hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 125 175 245 250 350 490 641 875 1225 1282 1750 2450 3205 4487 6125 6410 8974 12250 16025 22435 31409 32050 44870 62818 80125 112175 157045 160250 224350 314090 560875 785225 1121750 1570450 3926125 7852250 13009589 26019178 65047945 91067123 130095890 182134246 325239725 455335615 637469861 650479450 910671230 1274939722 1626198625 2276678075 3187349305 3252397250 4553356150 6374698610 8339146549 11383390375 15936746525 16678293098 22766780750 31873493050 41695732745 58374025843 79683732625 83391465490 116748051686 159367465250 208478663725 291870129215 408618180901 416957327450 583740258430 817236361802 1042393318625 1459350646075 2043090904505 2084786637250 2918701292150 4086181809010 7296753230375 10215454522525 14593506460750 20430909045050 51077272612625 102154545225250