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112976127 = 3411211527
BaseRepresentation
bin1101011101111…
…10000011111111
321212120210010000
412232332003333
5212410214002
615113245343
72541165315
oct656760377
9255523100
10112976127
1158854700
1231a03853
131a537ba4
141100c0b5
159db961c
hex6bbe0ff

112976127 has 30 divisors (see below), whose sum is σ = 185520104. Its totient is φ = 68464440.

The previous prime is 112976119. The next prime is 112976159. The reversal of 112976127 is 721679211.

It is a happy number.

112976127 is a `hidden beast` number, since 11 + 29 + 7 + 612 + 7 = 666.

It is not a de Polignac number, because 112976127 - 23 = 112976119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112976091 and 112976100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112976117) 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 29 ways as a sum of consecutive naturals, for example, 4038 + ... + 15564.

Almost surely, 2112976127 is an apocalyptic number.

112976127 is a deficient number, since it is larger than the sum of its proper divisors (72543977).

112976127 is a wasteful number, since it uses less digits than its factorization.

112976127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11541 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 112976127 is about 10629.0228619568. The cubic root of 112976127 is about 483.4247642595.

It can be divided in two parts, 11297 and 6127, that added together give a square (17424 = 1322).

The spelling of 112976127 in words is "one hundred twelve million, nine hundred seventy-six thousand, one hundred twenty-seven".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 9801 11527 34581 103743 126797 311229 380391 933687 1141173 1394767 3423519 4184301 10270557 12552903 37658709 112976127