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20221022102112 = 25321331174223033
BaseRepresentation
bin1001001100100000100101…
…10101101110001001100000
32122121002222210112121220200
410212100102311232021200
510122300123124231422
6111001224224505200
74154630530626216
oct446202265561140
978532883477820
1020221022102112
1164967618a7747
122326b7747b200
13b38aac985b90
144dc9ba286cb6
15250eddb712ac
hex126412d6e260

20221022102112 has 144 divisors (see below), whose sum is σ = 63924521851008. Its totient is φ = 6021147985920.

The previous prime is 20221022102101. The next prime is 20221022102131. The reversal of 20221022102112 is 21120122012202.

It is a happy number.

20221022102112 is a `hidden beast` number, since 20 + 2 + 210 + 221 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 86995453 + ... + 87227580.

It is an arithmetic number, because the mean of its divisors is an integer number (443920290632).

Almost surely, 220221022102112 is an apocalyptic number.

It is an amenable number.

20221022102112 is an abundant number, since it is smaller than the sum of its proper divisors (43703499748896).

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

20221022102112 is a wasteful number, since it uses less digits than its factorization.

20221022102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174223093 (or 174223082 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20221022102112 its reverse (21120122012202), we get a palindrome (41341144114314).

It can be divided in two parts, 2022102 and 2102112, that added together give a palindrome (4124214).

The spelling of 20221022102112 in words is "twenty trillion, two hundred twenty-one billion, twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 116064 174223033 348446066 522669099 696892132 1045338198 1393784264 1568007297 2090676396 2264899429 2787568528 3136014594 4181352792 4529798858 5400914023 5575137056 6272029188 6794698287 8362705584 9059597716 10801828046 12544058376 13589396574 16202742069 16725411168 18119195432 20384094861 21603656092 25088116752 27178793148 32405484138 36238390864 40768189722 43207312184 48608226207 50176233504 54357586296 64810968276 70211882299 72476781728 81536379444 86414624368 97216452414 108715172592 129621936552 140423764598 163072758888 172829248736 194432904828 210635646897 217430345184 259243873104 280847529196 326145517776 388865809656 421271293794 518487746208 561695058392 631906940691 652291035552 777731619312 842542587588 1123390116784 1263813881382 1555463238624 1685085175176 2246780233568 2527627762764 3370170350352 5055255525528 6740340700704 10110511051056 20221022102112