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112220674632 = 233211212881161
BaseRepresentation
bin110100010000011011…
…1111001101001001000
3101201122211222221021200
41220200313321221020
53314311443042012
6123315314304200
711051634665343
oct1504067715110
9351584887250
10112220674632
1143657710900
12198ba588060
13a7755b9a71
1456080c345a
152dbc04a3dc
hex1a20df9a48

112220674632 has 72 divisors (see below), whose sum is σ = 334072936470. Its totient is φ = 34006262400.

The previous prime is 112220674613. The next prime is 112220674697. The reversal of 112220674632 is 236476022211.

112220674632 is a `hidden beast` number, since 1 + 12 + 2 + 2 + 0 + 6 + 7 + 4 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63597778596 + 48622896036 = 252186^2 + 220506^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1122206746322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6431869 + ... + 6449292.

Almost surely, 2112220674632 is an apocalyptic number.

112220674632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112220674632 is an abundant number, since it is smaller than the sum of its proper divisors (221852261838).

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

112220674632 is a wasteful number, since it uses less digits than its factorization.

112220674632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881195 (or 12881177 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 112220674632 its reverse (236476022211), we get a palindrome (348696696843).

The spelling of 112220674632 in words is "one hundred twelve billion, two hundred twenty million, six hundred seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 12881161 25762322 38643483 51524644 77286966 103049288 115930449 141692771 154573932 231860898 283385542 309147864 425078313 463721796 566771084 850156626 927443592 1133542168 1275234939 1558620481 1700313252 2550469878 3117240962 3400626504 4675861443 5100939756 6234481924 9351722886 10201879512 12468963848 14027584329 18703445772 28055168658 37406891544 56110337316 112220674632