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111998431 = 1723972953
BaseRepresentation
bin1101010110011…
…11010111011111
321210202002222001
412223033113133
5212132422211
615040303131
72526654016
oct653172737
9253662861
10111998431
1158247096
1231611aa7
131a284b7c
1410c35a7d
159c74ac1
hex6acf5df

111998431 has 16 divisors (see below), whose sum is σ = 125060544. Its totient is φ = 99753984.

The previous prime is 111998413. The next prime is 111998449. The reversal of 111998431 is 134899111.

It is an interprime number because it is at equal distance from previous prime (111998413) and next prime (111998449).

It is a cyclic number.

It is not a de Polignac number, because 111998431 - 25 = 111998399 is a prime.

It is a super-2 number, since 2×1119984312 = 25087297092923522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111998231) 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 15 ways as a sum of consecutive naturals, for example, 36451 + ... + 39403.

It is an arithmetic number, because the mean of its divisors is an integer number (7816284).

Almost surely, 2111998431 is an apocalyptic number.

111998431 is a deficient number, since it is larger than the sum of its proper divisors (13062113).

111998431 is a wasteful number, since it uses less digits than its factorization.

111998431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090.

The product of its digits is 7776, while the sum is 37.

The square root of 111998431 is about 10582.9311157165. The cubic root of 111998431 is about 482.0262019238.

The spelling of 111998431 in words is "one hundred eleven million, nine hundred ninety-eight thousand, four hundred thirty-one".

Divisors: 1 17 23 97 391 1649 2231 2953 37927 50201 67919 286441 1154623 4869497 6588143 111998431