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112135021497 = 32110931123181
BaseRepresentation
bin110100001101111000…
…1001010001110111001
3101201102212211022021100
41220123301022032321
53314123031141442
6123303014402013
711046544645632
oct1503361121671
9351385738240
10112135021497
1143613329394
1219895960309
13a76092a535
1455da988889
152db477b84c
hex1a1bc4a3b9

112135021497 has 12 divisors (see below), whose sum is σ = 161987554404. Its totient is φ = 74749875360.

The previous prime is 112135021477. The next prime is 112135021517. The reversal of 112135021497 is 794120531211.

It is a happy number.

112135021497 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 3 + 502 + 149 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (112135021477) and next prime (112135021517).

It can be written as a sum of positive squares in 2 ways, for example, as 45358776576 + 66776244921 = 212976^2 + 258411^2 .

It is not a de Polignac number, because 112135021497 - 211 = 112135019449 is a prime.

It is a super-2 number, since 2×1121350214972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112135021417) 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 11 ways as a sum of consecutive naturals, for example, 461754 + ... + 661427.

It is an arithmetic number, because the mean of its divisors is an integer number (13498962867).

Almost surely, 2112135021497 is an apocalyptic number.

It is an amenable number.

112135021497 is a deficient number, since it is larger than the sum of its proper divisors (49852532907).

112135021497 is a wasteful number, since it uses less digits than its factorization.

112135021497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134280 (or 1134277 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 112135021497 in words is "one hundred twelve billion, one hundred thirty-five million, twenty-one thousand, four hundred ninety-seven".

Divisors: 1 3 9 11093 33279 99837 1123181 3369543 10108629 12459446833 37378340499 112135021497