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102556026100 = 225211891047559
BaseRepresentation
bin101111110000011010…
…0001100010011110100
3100210201022020220220001
41133200310030103310
53140013320313400
6115040311321044
710260301560433
oct1374064142364
9323638226801
10102556026100
113a548226370
1217a61980184
139895227118
144d6c6d711a
152a03830a6a
hex17e0d0c4f4

102556026100 has 72 divisors (see below), whose sum is σ = 245506161600. Its totient is φ = 36874041600.

The previous prime is 102556026061. The next prime is 102556026103. The reversal of 102556026100 is 1620655201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102556026103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425880 + ... + 621679.

It is an arithmetic number, because the mean of its divisors is an integer number (3409807800).

Almost surely, 2102556026100 is an apocalyptic number.

102556026100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102556026100 is an abundant number, since it is smaller than the sum of its proper divisors (142950135500).

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

102556026100 is a wasteful number, since it uses less digits than its factorization.

102556026100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047673 (or 1047666 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 102556026100 in words is "one hundred two billion, five hundred fifty-six million, twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 275 356 445 550 890 979 1100 1780 1958 2225 3916 4450 4895 8900 9790 19580 24475 48950 97900 1047559 2095118 4190236 5237795 10475590 11523149 20951180 23046298 26188975 46092596 52377950 57615745 93232751 104755900 115231490 186465502 230462980 288078725 372931004 466163755 576157450 932327510 1025560261 1152314900 1864655020 2051120522 2330818775 4102241044 4661637550 5127801305 9323275100 10255602610 20511205220 25639006525 51278013050 102556026100