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110404535112 = 2334457372817
BaseRepresentation
bin110011011010010011…
…1111000001101001000
3101112222021121111020000
41212310213320031020
53302102030110422
6122415200203000
710655633031054
oct1466447701510
9345867544200
10110404535112
1142905533353
1219492309460
13a5462687b1
1454b4c08c64
152d128a4cac
hex19b49f8348

110404535112 has 80 divisors (see below), whose sum is σ = 309912418860. Its totient is φ = 36720884736.

The previous prime is 110404535107. The next prime is 110404535149. The reversal of 110404535112 is 211535404011.

110404535112 is a `hidden beast` number, since 1 + 10 + 4 + 0 + 4 + 535 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82664300196 + 27740234916 = 287514^2 + 166554^2 .

It is a super-2 number, since 2×1104045351122 (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 19 ways as a sum of consecutive naturals, for example, 109728 + ... + 482544.

Almost surely, 2110404535112 is an apocalyptic number.

110404535112 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 110404535112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154956209430).

110404535112 is an abundant number, since it is smaller than the sum of its proper divisors (199507883748).

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

110404535112 is a wasteful number, since it uses less digits than its factorization.

110404535112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373292 (or 373279 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 110404535112 its reverse (211535404011), we get a palindrome (321939939123).

The spelling of 110404535112 in words is "one hundred ten billion, four hundred four million, five hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 457 648 914 1371 1828 2742 3656 4113 5484 8226 10968 12339 16452 24678 32904 37017 49356 74034 98712 148068 296136 372817 745634 1118451 1491268 2236902 2982536 3355353 4473804 6710706 8947608 10066059 13421412 20132118 26842824 30198177 40264236 60396354 80528472 120792708 170377369 241585416 340754738 511132107 681509476 1022264214 1363018952 1533396321 2044528428 3066792642 4089056856 4600188963 6133585284 9200377926 12267170568 13800566889 18400755852 27601133778 36801511704 55202267556 110404535112