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112227740560 = 24513107911289
BaseRepresentation
bin110100010000101001…
…0110110101110010000
3101201200100021220220201
41220201102312232100
53314320300144220
6123320125544544
711052052024615
oct1504122665620
9351610256821
10112227740560
11436606a7611
1219900a15154
13a776bc1ca0
14560900250c
152dbc993d0a
hex1a214b6b90

112227740560 has 40 divisors (see below), whose sum is σ = 281000999160. Its totient is φ = 41437934592.

The previous prime is 112227740533. The next prime is 112227740579. The reversal of 112227740560 is 65047722211.

It can be written as a sum of positive squares in 4 ways, for example, as 5241180816 + 106986559744 = 72396^2 + 327088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1122277405602 (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 7 ways as a sum of consecutive naturals, for example, 53954605 + ... + 53956684.

It is an arithmetic number, because the mean of its divisors is an integer number (7025024979).

Almost surely, 2112227740560 is an apocalyptic number.

112227740560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112227740560 is an abundant number, since it is smaller than the sum of its proper divisors (168773258600).

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

112227740560 is a wasteful number, since it uses less digits than its factorization.

112227740560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107911315 (or 107911309 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 112227740560 in words is "one hundred twelve billion, two hundred twenty-seven million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 107911289 215822578 431645156 539556445 863290312 1079112890 1402846757 1726580624 2158225780 2805693514 4316451560 5611387028 7014233785 8632903120 11222774056 14028467570 22445548112 28056935140 56113870280 112227740560