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222102221130120 = 233513125754975253
BaseRepresentation
bin110010100000000000110011…
…111111101000100110001000
31002010101202122200000212011110
4302200000303333220212020
5213102410322102130440
62104212203554130320
764532233042166142
oct6240006377504610
91063352580025143
10222102221130120
11648500286a91a1
1220ab0a945809a0
1396c11c3835996
143cbbb3a76dc92
151aa25c6130080
hexca0033fe8988

222102221130120 has 128 divisors (see below), whose sum is σ = 674005410080640. Its totient is φ = 58546444369920.

The previous prime is 222102221130079. The next prime is 222102221130131. The reversal of 222102221130120 is 21031122201222.

It is a super-3 number, since 3×2221022211301203 (a number of 44 digits) contains 333 as substring.

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, 23447587 + ... + 31527666.

It is an arithmetic number, because the mean of its divisors is an integer number (5265667266255).

Almost surely, 2222102221130120 is an apocalyptic number.

222102221130120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222102221130120 is an abundant number, since it is smaller than the sum of its proper divisors (451903188950520).

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

222102221130120 is a wasteful number, since it uses less digits than its factorization.

222102221130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54975655 (or 54975651 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 222102221130120 its reverse (21031122201222), we get a palindrome (243133343331342).

The spelling of 222102221130120 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred twenty-one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 257 262 393 514 524 655 771 786 1028 1048 1285 1310 1542 1572 1965 2056 2570 2620 3084 3144 3855 3930 5140 5240 6168 7710 7860 10280 15420 15720 30840 33667 67334 101001 134668 168335 202002 269336 336670 404004 505005 673340 808008 1010010 1346680 2020020 4040040 54975253 109950506 164925759 219901012 274876265 329851518 439802024 549752530 659703036 824628795 1099505060 1319406072 1649257590 2199010120 3298515180 6597030360 7201758143 14128640021 14403516286 21605274429 28257280042 28807032572 36008790715 42385920063 43210548858 56514560084 57614065144 70643200105 72017581430 84771840126 86421097716 108026372145 113029120168 141286400210 144035162860 169543680252 172842195432 211929600315 216052744290 282572800420 288070325720 339087360504 423859200630 432105488580 565145600840 847718401260 864210977160 1695436802520 1850851842751 3701703685502 5552555528253 7403407371004 9254259213755 11105111056506 14806814742008 18508518427510 22210222113012 27762777641265 37017036855020 44420444226024 55525555282530 74034073710040 111051110565060 222102221130120