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201120110022120 = 233512759747220879
BaseRepresentation
bin101101101110101011101100…
…101101110000110111101000
3222101002220011021020210112020
4231232223230231300313220
5202330122441131201440
61551425145242344440
760235306546362252
oct5556535455606750
9871086137223466
10201120110022120
11590a0617a0a633
121a682511abb120
13882b711484213
14379439dc52cd2
15183b8e02903d0
hexb6eaecb70de8

201120110022120 has 128 divisors (see below), whose sum is σ = 608124130099200. Its totient is φ = 53208598415616.

The previous prime is 201120110022101. The next prime is 201120110022137. The reversal of 201120110022120 is 21220011021102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201120110022120.

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, 910433841 + ... + 910654719.

It is an arithmetic number, because the mean of its divisors is an integer number (4750969766400).

Almost surely, 2201120110022120 is an apocalyptic number.

201120110022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120110022120 is an abundant number, since it is smaller than the sum of its proper divisors (407004020077080).

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

201120110022120 is a wasteful number, since it uses less digits than its factorization.

201120110022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280767 (or 280763 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201120110022120 its reverse (21220011021102), we get a palindrome (222340121043222).

The spelling of 201120110022120 in words is "two hundred one trillion, one hundred twenty billion, one hundred ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 59747 119494 179241 220879 238988 298735 358482 441758 477976 597470 662637 716964 883516 896205 1104395 1194940 1325274 1433928 1767032 1792410 2208790 2389880 2650548 3313185 3584820 4417580 5301096 6626370 7169640 7587869 8835160 13252740 15175738 22763607 26505480 28051633 30351476 37939345 45527214 56103266 60702952 75878690 84154899 91054428 112206532 113818035 140258165 151757380 168309798 182108856 224413064 227636070 280516330 303514760 336619596 420774495 455272140 561032660 673239192 841548990 910544280 1122065320 1683097980 3366195960 13196857613 26393715226 39590572839 52787430452 65984288065 79181145678 105574860904 131968576130 158362291356 197952864195 263937152260 316724582712 395905728390 527874304520 791811456780 1583622913560 1676000916851 3352001833702 5028002750553 6704003667404 8380004584255 10056005501106 13408007334808 16760009168510 20112011002212 25140013752765 33520018337020 40224022004424 50280027505530 67040036674040 100560055011060 201120110022120