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220221101210094 = 232131373719348239
BaseRepresentation
bin110010000100101000111000…
…100000100111100111101110
31001212201221011012000210020100
4302010220320200213213232
5212331100303402210334
62100212102141531530
764246310116533405
oct6204507040474756
91055657135023210
10220221101210094
1164195276531a96
12208483a9273ba6
1395b59b74520ca
143c54a885c063c
151a6d6c9b39c99
hexc84a388279ee

220221101210094 has 96 divisors (see below), whose sum is σ = 482748897945600. Its totient is φ = 72550121941440.

The previous prime is 220221101210051. The next prime is 220221101210107. The reversal of 220221101210094 is 490012101122022.

220221101210094 is a `hidden beast` number, since 220 + 221 + 1 + 0 + 1 + 210 + 0 + 9 + 4 = 666.

It is a super-2 number, since 2×2202211012100942 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632210827 + ... + 632559065.

It is an arithmetic number, because the mean of its divisors is an integer number (5028634353600).

Almost surely, 2220221101210094 is an apocalyptic number.

220221101210094 is an abundant number, since it is smaller than the sum of its proper divisors (262527796735506).

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

220221101210094 is a wasteful number, since it uses less digits than its factorization.

220221101210094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349470 (or 349467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 220221101210094 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, two hundred ten thousand, ninety-four".

Divisors: 1 2 3 6 9 18 131 262 373 393 719 746 786 1119 1179 1438 2157 2238 2358 3357 4314 6471 6714 12942 48863 94189 97726 146589 188378 268187 282567 293178 348239 439767 536374 565134 696478 804561 847701 879534 1044717 1609122 1695402 2089434 2413683 3134151 4827366 6268302 35132497 45619309 70264994 91238618 105397491 129893147 136857927 210794982 250383841 259786294 273715854 316192473 389679441 410573781 500767682 632384946 751151523 779358882 821147562 1169038323 1502303046 2253454569 2338076646 4506909138 17016002257 32800283171 34032004514 51048006771 65600566342 93393172693 98400849513 102096013542 153144020313 186786345386 196801699026 280179518079 295202548539 306288040626 560359036158 590405097078 840538554237 1681077108474 12234505622783 24469011245566 36703516868349 73407033736698 110110550605047 220221101210094