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105322922380 = 225131133584851
BaseRepresentation
bin110001000010110111…
…1000100000110001100
3101001212010122211001001
41202011233010012030
53211200132004010
6120215031430044
710416000032434
oct1420557040614
9331763584031
10105322922380
1140738053505
12184b4525324
139c16533760
145151d812c4
152b166cbc3a
hex1885bc418c

105322922380 has 48 divisors (see below), whose sum is σ = 240299799264. Its totient is φ = 38544307200.

The previous prime is 105322922359. The next prime is 105322922401. The reversal of 105322922380 is 83229223501.

It is an interprime number because it is at equal distance from previous prime (105322922359) and next prime (105322922401).

It is a super-2 number, since 2×1053229223802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763046 + ... + 1821805.

It is an arithmetic number, because the mean of its divisors is an integer number (5006245818).

Almost surely, 2105322922380 is an apocalyptic number.

105322922380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105322922380 is an abundant number, since it is smaller than the sum of its proper divisors (134976876884).

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

105322922380 is a wasteful number, since it uses less digits than its factorization.

105322922380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584986 (or 3584984 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 105322922380 in words is "one hundred five billion, three hundred twenty-two million, nine hundred twenty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1130 1469 2260 2938 5876 7345 14690 29380 3584851 7169702 14339404 17924255 35848510 46603063 71697020 93206126 186412252 233015315 405088163 466030630 810176326 932061260 1620352652 2025440815 4050881630 5266146119 8101763260 10532292238 21064584476 26330730595 52661461190 105322922380