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110814037128 = 23323389454141
BaseRepresentation
bin110011100110100001…
…0000000010010001000
3101121000211011100101100
41213031002000102020
53303421343142003
6122523545221400
711002034526354
oct1471502002210
9347024140340
10110814037128
1142aa56a9273
1219587491860
13a5b0056092
145513364464
152d387e3ba3
hex19cd080488

110814037128 has 48 divisors (see below), whose sum is σ = 300210569100. Its totient is φ = 36927031680.

The previous prime is 110814037127. The next prime is 110814037183. The reversal of 110814037128 is 821730418011.

It can be written as a sum of positive squares in 2 ways, for example, as 110222672004 + 591365124 = 331998^2 + 24318^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110814037092 and 110814037101.

It is not an unprimeable number, because it can be changed into a prime (110814037127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16938 + ... + 471078.

Almost surely, 2110814037128 is an apocalyptic number.

110814037128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110814037128 is an abundant number, since it is smaller than the sum of its proper divisors (189396531972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110814037128 is a wasteful number, since it uses less digits than its factorization.

110814037128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457542 (or 457535 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 110814037128 in words is "one hundred ten billion, eight hundred fourteen million, thirty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3389 6778 10167 13556 20334 27112 30501 40668 61002 81336 122004 244008 454141 908282 1362423 1816564 2724846 3633128 4087269 5449692 8174538 10899384 16349076 32698152 1539083849 3078167698 4617251547 6156335396 9234503094 12312670792 13851754641 18469006188 27703509282 36938012376 55407018564 110814037128