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222110220101120 = 2951343155208953
BaseRepresentation
bin110010100000001000010000…
…110001010010011000000000
31002010102112022010111200112122
4302200020100301102120000
5213103023212321213440
62104220005415543412
764532635211262251
oct6240102061223000
91063375263450478
10222110220101120
116485346293352a
1220ab254738ab68
1396c1b99aa8610
143cbc298c4ab28
151aa28e34c57b5
hexca0210c52600

222110220101120 has 160 divisors (see below), whose sum is σ = 586846296745632. Its totient is φ = 80102719291392.

The previous prime is 222110220101083. The next prime is 222110220101137. The reversal of 222110220101120 is 21101022011222.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76173437 + ... + 79035516.

Almost surely, 2222110220101120 is an apocalyptic number.

222110220101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222110220101120 is an abundant number, since it is smaller than the sum of its proper divisors (364736076644512).

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

222110220101120 is a wasteful number, since it uses less digits than its factorization.

222110220101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155209032 (or 155209016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222110220101120 its reverse (21101022011222), we get a palindrome (243211242112342).

The spelling of 222110220101120 in words is "two hundred twenty-two trillion, one hundred ten billion, two hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 80 86 104 128 130 160 172 208 215 256 260 320 344 416 430 512 520 559 640 688 832 860 1040 1118 1280 1376 1664 1720 2080 2236 2560 2752 2795 3328 3440 4160 4472 5504 5590 6656 6880 8320 8944 11008 11180 13760 16640 17888 22016 22360 27520 33280 35776 44720 55040 71552 89440 110080 143104 178880 286208 357760 715520 1431040 155208953 310417906 620835812 776044765 1241671624 1552089530 2017716389 2483343248 3104179060 4035432778 4966686496 6208358120 6673984979 8070865556 9933372992 10088581945 12416716240 13347969958 16141731112 19866745984 20177163890 24833432480 26695939916 32283462224 33369924895 39733491968 40354327780 49666864960 53391879832 64566924448 66739849790 79466983936 80708655560 86761804727 99333729920 106783759664 129133848896 133479699580 161417311120 173523609454 198667459840 213567519328 258267697792 266959399160 322834622240 347047218908 397334919680 427135038656 433809023635 516535395584 533918798320 645669244480 694094437816 854270077312 867618047270 1033070791168 1067837596640 1291338488960 1388188875632 1708540154624 1735236094540 2135675193280 2582676977920 2776377751264 3417080309248 3470472189080 4271350386560 5165353955840 5552755502528 6940944378160 8542700773120 11105511005056 13881888756320 17085401546240 22211022010112 27763777512640 44422044020224 55527555025280 111055110050560 222110220101120