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110918431 = 13149173331
BaseRepresentation
bin1101001110001…
…11101100011111
321201201020111001
412213013230133
5211343342211
615001211131
72514535231
oct647075437
9251636431
10110918431
1157679728
1231190aa7
1319c97410
1410a34251
159b0eac1
hex69c7b1f

110918431 has 16 divisors (see below), whose sum is σ = 121312800. Its totient is φ = 100805760.

The previous prime is 110918419. The next prime is 110918471. The reversal of 110918431 is 134819011.

It is a cyclic number.

It is not a de Polignac number, because 110918431 - 25 = 110918399 is a prime.

It is a super-2 number, since 2×1109184312 = 24605796671003522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110918431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110918411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 334936 + ... + 335266.

It is an arithmetic number, because the mean of its divisors is an integer number (7582050).

Almost surely, 2110918431 is an apocalyptic number.

110918431 is a deficient number, since it is larger than the sum of its proper divisors (10394369).

110918431 is a wasteful number, since it uses less digits than its factorization.

110918431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666.

The product of its (nonzero) digits is 864, while the sum is 28.

The square root of 110918431 is about 10531.7819479896. The cubic root of 110918431 is about 480.4718031735.

The spelling of 110918431 in words is "one hundred ten million, nine hundred eighteen thousand, four hundred thirty-one".

Divisors: 1 13 149 173 331 1937 2249 4303 25777 49319 57263 335101 641147 744419 8532187 110918431