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110000121112 = 23783217910861
BaseRepresentation
bin110011001110010000…
…1001010010100011000
3101111221002122010111201
41212130201022110120
53300240012333422
6122311112203544
710642622413360
oct1463441122430
9344832563451
10110000121112
1142718223102
121939a9995b4
13a4b054007b
1454772159a0
152cdc11d727
hex199c84a518

110000121112 has 64 divisors (see below), whose sum is σ = 238685932800. Its totient is φ = 46549261440.

The previous prime is 110000121109. The next prime is 110000121131. The reversal of 110000121112 is 211121000011.

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, 10122562 + ... + 10133422.

It is an arithmetic number, because the mean of its divisors is an integer number (3729467700).

Almost surely, 2110000121112 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 110000121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119342966400).

110000121112 is an abundant number, since it is smaller than the sum of its proper divisors (128685811688).

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

110000121112 is a wasteful number, since it uses less digits than its factorization.

110000121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110000121112 its reverse (211121000011), we get a palindrome (321121121123).

The spelling of 110000121112 in words is "one hundred ten billion, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 1162 2179 2324 4358 4648 8716 10861 15253 17432 21722 30506 43444 61012 76027 86888 122024 152054 180857 304108 361714 608216 723428 901463 1265999 1446856 1802926 2531998 3605852 5063996 6310241 7211704 10127992 12620482 23666119 25240964 47332238 50481928 94664476 165662833 189328952 331325666 662651332 1325302664 1964287877 3928575754 7857151508 13750015139 15714303016 27500030278 55000060556 110000121112