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110432013 = 3313767479
BaseRepresentation
bin1101001010100…
…00111100001101
321200210112020120
412211100330031
5211232311023
614542535153
72510441136
oct645207415
9250715216
10110432013
115737722a
1230b974b9
1319b56bb3
1410948c8d
159a658e3
hex6950f0d

110432013 has 32 divisors (see below), whose sum is σ = 158760960. Its totient is φ = 68143680.

The previous prime is 110431987. The next prime is 110432071. The reversal of 110432013 is 310234011.

It is not a de Polignac number, because 110432013 - 28 = 110431757 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110431983 and 110432001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110432513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230308 + ... + 230786.

It is an arithmetic number, because the mean of its divisors is an integer number (4961280).

Almost surely, 2110432013 is an apocalyptic number.

It is an amenable number.

110432013 is a deficient number, since it is larger than the sum of its proper divisors (48328947).

110432013 is a wasteful number, since it uses less digits than its factorization.

110432013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 110432013 is about 10508.6637114335. The cubic root of 110432013 is about 479.7684256221.

Adding to 110432013 its reverse (310234011), we get a palindrome (420666024).

The spelling of 110432013 in words is "one hundred ten million, four hundred thirty-two thousand, thirteen".

Divisors: 1 3 31 37 67 93 111 201 479 1147 1437 2077 2479 3441 6231 7437 14849 17723 32093 44547 53169 76849 96279 230547 549413 994883 1187441 1648239 2984649 3562323 36810671 110432013