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100222210102112 = 2572324120628917
BaseRepresentation
bin10110110010011011001101…
…001110110101001101100000
3111010212011001010211022011122
4112302123031032311031200
5101114020041241231422
6553053240412231412
730052546536635450
oct2662331516651540
9433764033738148
10100222210102112
1129a300008a686a
12b2a789b46b568
1343bcbb599a577
141aa6ad0925d60
15b8c022a24d42
hex5b26cd3b5360

100222210102112 has 144 divisors (see below), whose sum is σ = 241480133731872. Its totient is φ = 40082808944640.

The previous prime is 100222210102103. The next prime is 100222210102207. The reversal of 100222210102112 is 211201012222001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5456123 + ... + 15172794.

It is an arithmetic number, because the mean of its divisors is an integer number (1676945373138).

Almost surely, 2100222210102112 is an apocalyptic number.

It is an amenable number.

100222210102112 is an abundant number, since it is smaller than the sum of its proper divisors (141257923629760).

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

100222210102112 is a wasteful number, since it uses less digits than its factorization.

100222210102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20629021 (or 20628990 counting only the distinct ones).

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

Adding to 100222210102112 its reverse (211201012222001), we get a palindrome (311423222324113).

The spelling of 100222210102112 in words is "one hundred trillion, two hundred twenty-two billion, two hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 56 82 92 112 161 164 184 224 287 322 328 368 529 574 644 656 736 943 1058 1148 1288 1312 1886 2116 2296 2576 3703 3772 4232 4592 5152 6601 7406 7544 8464 9184 13202 14812 15088 16928 21689 26404 29624 30176 43378 52808 59248 86756 105616 118496 151823 173512 211232 303646 347024 607292 694048 1214584 2429168 4858336 20628917 41257834 82515668 144402419 165031336 288804838 330062672 474465091 577609676 660125344 845785597 948930182 1155219352 1691571194 1897860364 2310438704 3321255637 3383142388 3795720728 4620877408 5920499179 6642511274 6766284776 7591441456 10912697093 11840998358 13285022548 13532569552 15182882912 19453068731 21825394186 23681996716 26570045096 27065139104 38906137462 43650788372 47363993432 53140090192 76388879651 77812274924 87301576744 94727986864 106280180384 136171481117 152777759302 155624549848 174603153488 189455973728 272342962234 305555518604 311249099696 349206306976 447420580813 544685924468 611111037208 622498199392 894841161626 1089371848936 1222222074416 1789682323252 2178743697872 2444444148832 3131944065691 3579364646504 4357487395744 6263888131382 7158729293008 12527776262764 14317458586016 25055552525528 50111105051056 100222210102112