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110000123442 = 23311185185393
BaseRepresentation
bin110011001110010000…
…1001010111000110010
3101111221002122020201000
41212130201022320302
53300240012422232
6122311112222430
710642622423226
oct1463441127062
9344832566630
10110000123442
1142718224930
121939a99aa16
13a4b0541151
145477216786
152cdc11e27c
hex199c84ae32

110000123442 has 32 divisors (see below), whose sum is σ = 266666967360. Its totient is φ = 33333370560.

The previous prime is 110000123419. The next prime is 110000123447. The reversal of 110000123442 is 244321000011.

110000123442 is a `hidden beast` number, since 1 + 100 + 0 + 0 + 123 + 442 = 666.

It is a super-3 number, since 3×1100001234423 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110000123447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92592103 + ... + 92593290.

It is an arithmetic number, because the mean of its divisors is an integer number (8333342730).

Almost surely, 2110000123442 is an apocalyptic number.

110000123442 is an abundant number, since it is smaller than the sum of its proper divisors (156666843918).

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

110000123442 is a wasteful number, since it uses less digits than its factorization.

110000123442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185185415 (or 185185409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110000123442 its reverse (244321000011), we get a palindrome (354321123453).

The spelling of 110000123442 in words is "one hundred ten billion, one hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 185185393 370370786 555556179 1111112358 1666668537 2037039323 3333337074 4074078646 5000005611 6111117969 10000011222 12222235938 18333353907 36666707814 55000061721 110000123442