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110112112120 = 23567107383987
BaseRepresentation
bin110011010001100110…
…0010111110111111000
3101112012220100212021211
41212203030113313320
53301002200041440
6122330152412504
710645452336643
oct1464314276770
9345186325254
10110112112120
114277546465a
12194103a7134
13a4ca7c173a
145488048a5a
152ce6d90eea
hex19a3317df8

110112112120 has 64 divisors (see below), whose sum is σ = 253800708480. Its totient is φ = 42981856896.

The previous prime is 110112112109. The next prime is 110112112153. The reversal of 110112112120 is 21211211011.

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 110112112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94767 + ... + 478753.

It is an arithmetic number, because the mean of its divisors is an integer number (3965636070).

Almost surely, 2110112112120 is an apocalyptic number.

110112112120 is a gapful number since it is divisible by the number (10) 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 110112112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126900354240).

110112112120 is an abundant number, since it is smaller than the sum of its proper divisors (143688596360).

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

110112112120 is a wasteful number, since it uses less digits than its factorization.

110112112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384172 (or 384168 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110112112120 its reverse (21211211011), we get a palindrome (131323323131).

The spelling of 110112112120 in words is "one hundred ten billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 107 134 214 268 335 428 535 536 670 856 1070 1340 2140 2680 4280 7169 14338 28676 35845 57352 71690 143380 286760 383987 767974 1535948 1919935 3071896 3839870 7679740 15359480 25727129 41086609 51454258 82173218 102908516 128635645 164346436 205433045 205817032 257271290 328692872 410866090 514542580 821732180 1029085160 1643464360 2752802803 5505605606 11011211212 13764014015 22022422424 27528028030 55056056060 110112112120