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112102172298 = 232101370116661
BaseRepresentation
bin110100001100111001…
…1110110011010001010
3101201100121000101122100
41220121303312122022
53314041124003143
6123255442334230
711045665512444
oct1503163663212
9351317011570
10112102172298
11435a6832296
121988695a376
13a756b9873c
1455d6477494
152db193d6d3
hex1a19cf668a

112102172298 has 48 divisors (see below), whose sum is σ = 245373876072. Its totient is φ = 36985200000.

The previous prime is 112102172297. The next prime is 112102172353. The reversal of 112102172298 is 892271201211.

112102172298 is a `hidden beast` number, since 1 + 1 + 210 + 217 + 229 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109476942129 + 2625230169 = 330873^2 + 51237^2 .

It is not an unprimeable number, because it can be changed into a prime (112102172297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6720088 + ... + 6736748.

Almost surely, 2112102172298 is an apocalyptic number.

112102172298 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

112102172298 is an abundant number, since it is smaller than the sum of its proper divisors (133271703774).

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

112102172298 is a wasteful number, since it uses less digits than its factorization.

112102172298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20471 (or 20468 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 112102172298 in words is "one hundred twelve billion, one hundred two million, one hundred seventy-two thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 3701 7402 11103 16661 22206 33309 33322 49983 66618 99966 149949 299898 373801 747602 1121403 1682761 2242806 3364209 3365522 5048283 6728418 10096566 15144849 30289698 61662361 123324722 184987083 369974166 554961249 1109922498 6227898461 12455796922 18683695383 37367390766 56051086149 112102172298