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201012112121022 = 232531271837990271
BaseRepresentation
bin101101101101000111000111…
…100010011101110010111110
3222100201120101201010222112100
4231231013013202131302332
5202321340301200333042
61551303404532445530
760224434345354656
oct5555070742356276
9870646351128470
10201012112121022
1159059837a10014
121a6655b17798a6
13882148c9b7b27
14378d076913366
151838bbdd2224c
hexb6d1c789dcbe

201012112121022 has 96 divisors (see below), whose sum is σ = 447267053076480. Its totient is φ = 65217902742720.

The previous prime is 201012112121011. The next prime is 201012112121083. The reversal of 201012112121022 is 220121211210102.

201012112121022 is a `hidden beast` number, since 201 + 0 + 1 + 211 + 21 + 210 + 22 = 666.

201012112121022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201012112120986 and 201012112121004.

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, 2226717747 + ... + 2226808017.

It is an arithmetic number, because the mean of its divisors is an integer number (4659031802880).

Almost surely, 2201012112121022 is an apocalyptic number.

201012112121022 is an abundant number, since it is smaller than the sum of its proper divisors (246254940955458).

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

201012112121022 is a wasteful number, since it uses less digits than its factorization.

201012112121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108838 (or 108835 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201012112121022 its reverse (220121211210102), we get a palindrome (421133323331124).

The spelling of 201012112121022 in words is "two hundred one trillion, twelve billion, one hundred twelve million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 53 106 127 159 254 318 381 477 762 954 1143 2286 6731 13462 18379 20193 36758 40386 55137 60579 90271 110274 121158 165411 180542 270813 330822 541626 812439 974087 1624878 1948174 2334133 2922261 4668266 4784363 5844522 7002399 8766783 9568726 11464417 14004798 14353089 17533566 21007197 22928834 28706178 34393251 42014394 43059267 68786502 86118534 103179753 123709049 206359506 247418098 371127147 607614101 742254294 1113381441 1215228202 1659090709 1822842303 2226762882 3318181418 3645684606 4977272127 5468526909 9954544254 10937053818 14931816381 29863632762 87931807577 175863615154 210704520043 263795422731 421409040086 527590845462 632113560129 791386268193 1264227120258 1582772536386 1896340680387 3792681360774 11167339562279 22334679124558 33502018686837 67004037373674 100506056060511 201012112121022