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114112431 = 3259311691
BaseRepresentation
bin1101100110100…
…11011110101111
321221201111211100
412303103132233
5213203044211
615153454143
72553640206
oct663233657
9257644740
10114112431
11594603a4
1232271353
131a845164
141122623d
15a041156
hex6cd37af

114112431 has 24 divisors (see below), whose sum is σ = 168405120. Its totient is φ = 74437200.

The previous prime is 114112429. The next prime is 114112433. The reversal of 114112431 is 134211411.

114112431 is a `hidden beast` number, since 11 + 411 + 243 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (114112429) and next prime (114112433).

It is not a de Polignac number, because 114112431 - 21 = 114112429 is a prime.

It is a super-2 number, since 2×1141124312 = 26043293817459522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114112433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164796 + ... + 165486.

It is an arithmetic number, because the mean of its divisors is an integer number (7016880).

Almost surely, 2114112431 is an apocalyptic number.

114112431 is a deficient number, since it is larger than the sum of its proper divisors (54292689).

114112431 is a wasteful number, since it uses less digits than its factorization.

114112431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1064 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 114112431 is about 10682.3420184901. The cubic root of 114112431 is about 485.0401086325.

Adding to 114112431 its reverse (134211411), we get a palindrome (248323842).

The spelling of 114112431 in words is "one hundred fourteen million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 59 177 311 531 691 933 2073 2799 6219 18349 40769 55047 122307 165141 214901 366921 644703 1934109 12679159 38037477 114112431