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110423412324 = 22344334491753
BaseRepresentation
bin110011011010110111…
…1111000111001100100
3101120000121010112220000
41212311233320321210
53302121343143244
6122421112541300
710656252342501
oct1466557707144
9346017115800
10110423412324
1142915157055
12194986b1830
13a54a147b44
1454b75204a8
152d14383169
hex19b5bf8e64

110423412324 has 120 divisors (see below), whose sum is σ = 290145101400. Its totient is φ = 36620107776.

The previous prime is 110423412311. The next prime is 110423412343. The reversal of 110423412324 is 423214324011.

110423412324 is a `hidden beast` number, since 1 + 1 + 0 + 423 + 4 + 1 + 232 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 729972324 + 109693440000 = 27018^2 + 331200^2 .

It is a super-2 number, since 2×1104234123242 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62990232 + ... + 62991984.

It is an arithmetic number, because the mean of its divisors is an integer number (2417875845).

Almost surely, 2110423412324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110423412324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145072550700).

110423412324 is an abundant number, since it is smaller than the sum of its proper divisors (179721689076).

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

110423412324 is a wasteful number, since it uses less digits than its factorization.

110423412324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 110423412324 its reverse (423214324011), we get a palindrome (533637736335).

The spelling of 110423412324 in words is "one hundred ten billion, four hundred twenty-three million, four hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 433 449 866 898 1299 1347 1732 1753 1796 2598 2694 3506 3897 4041 5196 5259 5388 7012 7794 8082 10518 11691 12123 15588 15777 16164 21036 23382 24246 31554 35073 36369 46764 47331 48492 63108 70146 72738 94662 140292 141993 145476 189324 194417 283986 388834 567972 583251 759049 777668 787097 1166502 1518098 1574194 1749753 2277147 2333004 2361291 3036196 3148388 3499506 4554294 4722582 5249259 6831441 6999012 7083873 9108588 9445164 10498518 13662882 14167746 15747777 20494323 20997036 21251619 27325764 28335492 31495554 40988646 42503238 61482969 62991108 63754857 81977292 85006476 122965938 127509714 245931876 255019428 340813001 681626002 1022439003 1363252004 2044878006 3067317009 4089756012 6134634018 9201951027 12269268036 18403902054 27605853081 36807804108 55211706162 110423412324