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110212221120112 = 24194757113508969
BaseRepresentation
bin11001000011110011001000…
…010010100010111001110000
3112110020012000012000200201201
4121003303020102202321300
5103421204112101320422
61030222443450540544
732133366403340416
oct3103631022427160
9473205005020651
10110212221120112
1132131816660861
121043ba49a37754
134965c774c5647
141d3042b15d2b6
15cb1d15a34727
hex643cc84a2e70

110212221120112 has 80 divisors (see below), whose sum is σ = 229959413798400. Its totient is φ = 51005540298240.

The previous prime is 110212221120107. The next prime is 110212221120163. The reversal of 110212221120112 is 211021122212011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 110212221120112.

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, 1403964 + ... + 14912932.

It is an arithmetic number, because the mean of its divisors is an integer number (2874492672480).

Almost surely, 2110212221120112 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 110212221120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114979706899200).

110212221120112 is an abundant number, since it is smaller than the sum of its proper divisors (119747192678288).

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

110212221120112 is a wasteful number, since it uses less digits than its factorization.

110212221120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13509614 (or 13509608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110212221120112 its reverse (211021122212011), we get a palindrome (321233343332123).

The spelling of 110212221120112 in words is "one hundred ten trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 571 752 893 1142 1786 2284 3572 4568 7144 9136 10849 14288 21698 26837 43396 53674 86792 107348 173584 214696 429392 509903 1019806 2039612 4079224 8158448 13508969 27017938 54035876 108071752 216143504 256670411 513340822 634921543 1026681644 1269843086 2053363288 2539686172 4106726576 5079372344 7713621299 10158744688 12063509317 15427242598 24127018634 30854485196 48254037268 61708970392 96508074536 123417940784 146558804681 193016149072 293117609362 362540201053 586235218724 725080402106 1172470437448 1450160804212 2344940874896 2900321608424 5800643216848 6888263820007 13776527640014 27553055280028 55106110560056 110212221120112