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102270738680 = 23511279783101
BaseRepresentation
bin101111100111111001…
…1111010000011111000
3100202222102102211010022
41133033303322003320
53133422302114210
6114552120510012
710250235635615
oct1371763720370
9322872384108
10102270738680
113a411190740
12179a231b308
13984b0aabb6
144d4287350c
1529d877b155
hex17cfcfa0f8

102270738680 has 64 divisors (see below), whose sum is σ = 251120947680. Its totient is φ = 37175616000.

The previous prime is 102270738673. The next prime is 102270738749. The reversal of 102270738680 is 86837072201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1189130 + ... + 1272230.

Almost surely, 2102270738680 is an apocalyptic number.

102270738680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102270738680 is an abundant number, since it is smaller than the sum of its proper divisors (148850209000).

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

102270738680 is a wasteful number, since it uses less digits than its factorization.

102270738680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85920 (or 85916 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 102270738680 in words is "one hundred two billion, two hundred seventy million, seven hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2797 5594 11188 13985 22376 27970 30767 55940 61534 83101 111880 123068 153835 166202 246136 307670 332404 415505 615340 664808 831010 914111 1230680 1662020 1828222 3324040 3656444 4570555 7312888 9141110 18282220 36564440 232433497 464866994 929733988 1162167485 1859467976 2324334970 2556768467 4648669940 5113536934 9297339880 10227073868 12783842335 20454147736 25567684670 51135369340 102270738680