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110342344332 = 2231113143314737
BaseRepresentation
bin110011011000011101…
…0101000111010001100
3101112210221120212111210
41212300322220322030
53301440120004312
6122405055214420
710654246310613
oct1466072507214
9345727525453
10110342344332
1142883416510
1219475517410
13a53640260c
1454aa85a87a
152d0c1bce3c
hex19b0ea8e8c

110342344332 has 96 divisors (see below), whose sum is σ = 283688342784. Its totient is φ = 33102950400.

The previous prime is 110342344327. The next prime is 110342344349. The reversal of 110342344332 is 233443243011.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 110342344332.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7480068 + ... + 7494804.

It is an arithmetic number, because the mean of its divisors is an integer number (2955086904).

Almost surely, 2110342344332 is an apocalyptic number.

110342344332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110342344332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141844171392).

110342344332 is an abundant number, since it is smaller than the sum of its proper divisors (173345998452).

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

110342344332 is a wasteful number, since it uses less digits than its factorization.

110342344332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15319 (or 15317 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 110342344332 its reverse (233443243011), we get a palindrome (343785587343).

The spelling of 110342344332 in words is "one hundred ten billion, three hundred forty-two million, three hundred forty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 433 524 786 866 1299 1441 1572 1732 2598 2882 4323 4763 5196 5764 8646 9526 14289 14737 17292 19052 28578 29474 44211 56723 57156 58948 88422 113446 162107 170169 176844 226892 324214 340338 486321 623953 648428 680676 972642 1247906 1871859 1930547 1945284 2495812 3743718 3861094 5791641 6381121 7487436 7722188 11583282 12762242 19143363 21236017 23166564 25524484 38286726 42472034 63708051 70192331 76573452 84944068 127416102 140384662 210576993 254832204 280769324 421153986 835926851 842307972 1671853702 2507780553 3343707404 5015561106 9195195361 10031122212 18390390722 27585586083 36780781444 55171172166 110342344332