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111106656111 = 31131132182217
BaseRepresentation
bin110011101111001111…
…0010000011101101111
3101121210012202221011110
41213132132100131233
53310021300443421
6123013001123103
711012216665053
oct1473636203557
9347705687143
10111106656111
11431358a1240
1219649489493
13a62886b3c9
145540175c63
152d54345a76
hex19de79076f

111106656111 has 32 divisors (see below), whose sum is σ = 166951213056. Its totient is φ = 65115072000.

The previous prime is 111106656091. The next prime is 111106656181. The reversal of 111106656111 is 111656601111.

It is not a de Polignac number, because 111106656111 - 29 = 111106655599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111106656181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310275 + ... + 1392491.

It is an arithmetic number, because the mean of its divisors is an integer number (5217225408).

Almost surely, 2111106656111 is an apocalyptic number.

111106656111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111106656111 is a deficient number, since it is larger than the sum of its proper divisors (55844556945).

111106656111 is a wasteful number, since it uses less digits than its factorization.

111106656111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83583.

The product of its (nonzero) digits is 1080, while the sum is 30.

The spelling of 111106656111 in words is "one hundred eleven billion, one hundred six million, six hundred fifty-six thousand, one hundred eleven".

Divisors: 1 3 11 31 33 93 341 1023 1321 3963 14531 40951 43593 82217 122853 246651 450461 904387 1351383 2548727 2713161 7646181 28035997 84107991 108608657 325825971 1194695227 3366868367 3584085681 10100605101 37035552037 111106656111