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111984431 = 13312691033
BaseRepresentation
bin1101010110010…
…11111100101111
321210201101202112
412223023330233
5212132000211
615040114235
72526565136
oct653137457
9253641675
10111984431
1158237619
123160597b
131a27b6a0
1410c3091d
159c7088b
hex6acbf2f

111984431 has 16 divisors (see below), whose sum is σ = 125072640. Its totient is φ = 99567360.

The previous prime is 111984413. The next prime is 111984449. The reversal of 111984431 is 134489111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111984413) and next prime (111984449).

It is a cyclic number.

It is not a de Polignac number, because 111984431 - 214 = 111968047 is a prime.

It is a super-2 number, since 2×1119844312 = 25081025572787522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111984451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107891 + ... + 108923.

It is an arithmetic number, because the mean of its divisors is an integer number (7817040).

Almost surely, 2111984431 is an apocalyptic number.

111984431 is a deficient number, since it is larger than the sum of its proper divisors (13088209).

111984431 is a wasteful number, since it uses less digits than its factorization.

111984431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346.

The product of its digits is 3456, while the sum is 32.

The square root of 111984431 is about 10582.2696525840. The cubic root of 111984431 is about 482.0061163804.

The spelling of 111984431 in words is "one hundred eleven million, nine hundred eighty-four thousand, four hundred thirty-one".

Divisors: 1 13 31 269 403 1033 3497 8339 13429 32023 108407 277877 416299 3612401 8614187 111984431