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110412345042 = 232172437148061
BaseRepresentation
bin110011011010100010…
…1101010111011010010
3101112222211022021102200
41212311011222323102
53302111030020132
6122420035424030
710656056306406
oct1466505527322
9345884267380
10110412345042
114290998803a
1219494a55016
13a547a7155c
1454b5c7d106
152d133e8d7c
hex19b516aed2

110412345042 has 48 divisors (see below), whose sum is σ = 253404559512. Its totient is φ = 34624719360.

The previous prime is 110412345013. The next prime is 110412345053. The reversal of 110412345042 is 240543214011.

110412345042 is a `hidden beast` number, since 110 + 4 + 12 + 34 + 504 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108064070361 + 2348274681 = 328731^2 + 48459^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110412344997 and 110412345015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671692 + ... + 819752.

Almost surely, 2110412345042 is an apocalyptic number.

110412345042 is an abundant number, since it is smaller than the sum of its proper divisors (142992214470).

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

110412345042 is a wasteful number, since it uses less digits than its factorization.

110412345042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150523 (or 150520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 110412345042 its reverse (240543214011), we get a palindrome (350955559053).

The spelling of 110412345042 in words is "one hundred ten billion, four hundred twelve million, three hundred forty-five thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2437 4874 7311 14622 21933 41429 43866 82858 124287 148061 248574 296122 372861 444183 745722 888366 1332549 2517037 2665098 5034074 7551111 15102222 22653333 45306666 360824657 721649314 1082473971 2164947942 3247421913 6134019169 6494843826 12268038338 18402057507 36804115014 55206172521 110412345042