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110220101020120 = 23571333647899939
BaseRepresentation
bin11001000011111010011101…
…111101111110100111011000
3112110020221100100110002102011
4121003322131331332213120
5103421321231330120440
61030230225420315304
732134065565362010
oct3103723575764730
9473227310402364
10110220101020120
113213509a659313
12104414889a2b34
134966931ba8180
141d309778c2c40
15cb21277099ea
hex643e9df7e9d8

110220101020120 has 128 divisors (see below), whose sum is σ = 305234305689600. Its totient is φ = 34881769668096.

The previous prime is 110220101020069. The next prime is 110220101020147. The reversal of 110220101020120 is 21020101022011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 110220101020120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122025111 + ... + 122925049.

It is an arithmetic number, because the mean of its divisors is an integer number (2384643013200).

Almost surely, 2110220101020120 is an apocalyptic number.

110220101020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110220101020120 is an abundant number, since it is smaller than the sum of its proper divisors (195014204669480).

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

110220101020120 is a wasteful number, since it uses less digits than its factorization.

110220101020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933617 (or 933613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110220101020120 its reverse (21020101022011), we get a palindrome (131240202042131).

The spelling of 110220101020120 in words is "one hundred ten trillion, two hundred twenty billion, one hundred one million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 33647 67294 134588 168235 235529 269176 336470 437411 471058 672940 874822 899939 942116 1177645 1345880 1749644 1799878 1884232 2187055 2355290 3061877 3499288 3599756 4374110 4499695 4710580 6123754 6299573 7199512 8748220 8999390 9421160 11699207 12247508 12599146 15309385 17496440 17998780 23398414 24495016 25198292 30618770 31497865 35997560 46796828 50396584 58496035 61237540 62995730 81894449 93593656 116992070 122475080 125991460 163788898 233984140 251982920 327577796 409472245 467968280 655155592 818944490 1637888980 3275777960 30280247533 60560495066 121120990132 151401237665 211961732731 242241980264 302802475330 393643217929 423923465462 605604950660 787286435858 847846930924 1059808663655 1211209901320 1574572871716 1695693861848 1968216089645 2119617327310 2755502525503 3149145743432 3936432179290 4239234654620 5511005051006 7872864358580 8478469309240 11022010102012 13777512627515 15745728717160 22044020204024 27555025255030 55110050510060 110220101020120