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110220002122120 = 23511798669365773
BaseRepresentation
bin11001000011111010011000…
…000100101101100110001000
3112110020221002110100112212021
4121003322120010231212020
5103421321031020401440
61030230211524454224
732134063254636442
oct3103723004554610
9473227073315767
10110220002122120
113213504984a830
121044145b84a374
13496691755c147
141d309686db492
15cb211dbc184a
hex643e9812d988

110220002122120 has 128 divisors (see below), whose sum is σ = 273996914112000. Its totient is φ = 39567985966080.

The previous prime is 110220002122103. The next prime is 110220002122159. The reversal of 110220002122120 is 21221200022011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110220002122094 and 110220002122103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301151554 + ... + 301517326.

It is an arithmetic number, because the mean of its divisors is an integer number (2140600891500).

Almost surely, 2110220002122120 is an apocalyptic number.

110220002122120 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 110220002122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136998457056000).

110220002122120 is an abundant number, since it is smaller than the sum of its proper divisors (163776911989880).

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

110220002122120 is a wasteful number, since it uses less digits than its factorization.

110220002122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374543 (or 374539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110220002122120 its reverse (21221200022011), we get a palindrome (131441202144131).

The spelling of 110220002122120 in words is "one hundred ten trillion, two hundred twenty billion, two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4345 6952 8669 8690 17338 17380 34676 34760 43345 69352 86690 95359 173380 190718 346760 365773 381436 476795 684851 731546 762872 953590 1369702 1463092 1828865 1907180 2739404 2926184 3424255 3657730 3814360 4023503 5478808 6848510 7315460 7533361 8047006 13697020 14630920 15066722 16094012 20117515 27394040 28896067 30133444 32188024 37666805 40235030 57792134 60266888 75333610 80470060 115584268 144480335 150667220 160940120 231168536 288960670 301334440 317856737 577921340 635713474 1155842680 1271426948 1589283685 2542853896 3170886137 3178567370 6341772274 6357134740 12683544548 12714269480 15854430685 25367089096 31708861370 34879747507 63417722740 69759495014 126835445480 139518990028 174398737535 250500004823 279037980056 348797475070 501000009646 697594950140 1002000019292 1252500024115 1395189900280 2004000038584 2505000048230 2755500053053 5010000096460 5511000106106 10020000192920 11022000212212 13777500265265 22044000424424 27555000530530 55110001061060 110220002122120