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111312234342 = 23337337165317
BaseRepresentation
bin110011110101010111…
…0011110011101100110
3101122022112121101111000
41213222232132131212
53310431412444332
6123045223254130
711020264244361
oct1475256363546
9348275541430
10111312234342
1143230944201
12196a62aa346
13a65c32972a
14555d5ab0d8
152d67402b7c
hex19eab9e766

111312234342 has 64 divisors (see below), whose sum is σ = 254801327040. Its totient is φ = 35993922048.

The previous prime is 111312234259. The next prime is 111312234343. The reversal of 111312234342 is 243432213111.

111312234342 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 223 + 434 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111312234343) 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 31 ways as a sum of consecutive naturals, for example, 590668 + ... + 755984.

It is an arithmetic number, because the mean of its divisors is an integer number (3981270735).

Almost surely, 2111312234342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111312234342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127400663520).

111312234342 is an abundant number, since it is smaller than the sum of its proper divisors (143489092698).

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

111312234342 is a wasteful number, since it uses less digits than its factorization.

111312234342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165702 (or 165696 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 111312234342 its reverse (243432213111), we get a palindrome (354744447453).

The spelling of 111312234342 in words is "one hundred eleven billion, three hundred twelve million, two hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 337 666 674 999 1011 1998 2022 3033 6066 9099 12469 18198 24938 37407 74814 112221 165317 224442 330634 336663 495951 673326 991902 1487853 2975706 4463559 6116729 8927118 12233458 18350187 36700374 55050561 55711829 110101122 111423658 165151683 167135487 330303366 334270974 501406461 1002812922 1504219383 2061337673 3008438766 4122675346 6184013019 12368026038 18552039057 37104078114 55656117171 111312234342