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110054055121 = 13125128311827
BaseRepresentation
bin110011001111110111…
…0111001110011010001
3101112001212010021001121
41212133232321303101
53300342314230441
6122320320202241
710644146014363
oct1463756716321
9345055107047
10110054055121
114274571056a
12193b4a69381
13a4bb774c9a
145480454d33
152ce1c23dd1
hex199fbb9cd1

110054055121 has 16 divisors (see below), whose sum is σ = 111738832128. Its totient is φ = 108385290000.

The previous prime is 110054055119. The next prime is 110054055169. The reversal of 110054055121 is 121550450011.

It is a cyclic number.

It is not a de Polignac number, because 110054055121 - 21 = 110054055119 is a prime.

It is a super-2 number, since 2×1100540551212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110054055191) 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 15 ways as a sum of consecutive naturals, for example, 9299410 + ... + 9311236.

It is an arithmetic number, because the mean of its divisors is an integer number (6983677008).

Almost surely, 2110054055121 is an apocalyptic number.

It is an amenable number.

110054055121 is a deficient number, since it is larger than the sum of its proper divisors (1684777007).

110054055121 is a wasteful number, since it uses less digits than its factorization.

110054055121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12492.

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 110054055121 in words is "one hundred ten billion, fifty-four million, fifty-five thousand, one hundred twenty-one".

Divisors: 1 131 251 283 11827 32881 37073 71033 1549337 2968577 3347041 9305323 388883587 438462371 840107291 110054055121