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110524440042 = 23254197711617
BaseRepresentation
bin110011011101111000…
…1010001110111101010
3101120021122020021212100
41212323301101313222
53302323224040132
6122435122154230
710661620145112
oct1467361216752
9346248207770
10110524440042
114296718a735
12195064b2976
13a56505b363
1454c6adc042
152d1d18c37c
hex19bbc51dea

110524440042 has 48 divisors (see below), whose sum is σ = 240178495752. Its totient is φ = 36732579840.

The previous prime is 110524440041. The next prime is 110524440043. The reversal of 110524440042 is 240044425011.

110524440042 is a `hidden beast` number, since 1 + 10 + 5 + 244 + 400 + 4 + 2 = 666.

110524440042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110524440041) and next prime (110524440043).

It can be written as a sum of positive squares in 4 ways, for example, as 103258752921 + 7265687121 = 321339^2 + 85239^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110524439988 and 110524440015.

It is not an unprimeable number, because it can be changed into a prime (110524440041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9508218 + ... + 9519834.

Almost surely, 2110524440042 is an apocalyptic number.

110524440042 is an abundant number, since it is smaller than the sum of its proper divisors (129654055710).

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

110524440042 is a wasteful number, since it uses less digits than its factorization.

110524440042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13143 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 110524440042 its reverse (240044425011), we get a palindrome (350568865053).

The spelling of 110524440042 in words is "one hundred ten billion, five hundred twenty-four million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 541 977 1082 1623 1954 2931 3246 4869 5862 8793 9738 11617 17586 23234 34851 69702 104553 209106 528557 1057114 1585671 3171342 4757013 6284797 9514026 11349809 12569594 18854391 22699618 34049427 37708782 56563173 68098854 102148281 113126346 204296562 6140246669 12280493338 18420740007 36841480014 55262220021 110524440042