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22112102012112 = 2432774329524373
BaseRepresentation
bin1010000011100010111111…
…11111000101010011010000
32220021220012102000121112100
411001301133333011103100
510344241041103341422
6115010054234200400
74441355333634420
oct501613777052320
986256172017470
1022112102012112
117055765140822
122591582283100
13c45215688948
14566335142480
152852be76e7ac
hex141c5ffc54d0

22112102012112 has 120 divisors (see below), whose sum is σ = 70818816841344. Its totient is φ = 6309240198912.

The previous prime is 22112102012089. The next prime is 22112102012123. The reversal of 22112102012112 is 21121020121122.

22112102012112 is a `hidden beast` number, since 221 + 1 + 210 + 20 + 1 + 211 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14013243 + ... + 15511130.

Almost surely, 222112102012112 is an apocalyptic number.

It is an amenable number.

22112102012112 is an abundant number, since it is smaller than the sum of its proper divisors (48706714829232).

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

22112102012112 is a wasteful number, since it uses less digits than its factorization.

22112102012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29525137 (or 29525128 counting only the distinct ones).

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

Adding to 22112102012112 its reverse (21121020121122), we get a palindrome (43233122133234).

It can be divided in two parts, 2 and 2112102012112, that multiplied together give a palindrome (4224204024224).

The spelling of 22112102012112 in words is "twenty-two trillion, one hundred twelve billion, one hundred two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 743 1008 1486 2229 2972 4458 5201 5944 6687 8916 10402 11888 13374 15603 17832 20804 26748 31206 35664 41608 46809 53496 62412 83216 93618 106992 124824 187236 249648 374472 748944 29524373 59048746 88573119 118097492 177146238 206670611 236194984 265719357 354292476 413341222 472389968 531438714 620011833 708584952 826682444 1062877428 1240023666 1417169904 1653364888 1860035499 2125754856 2480047332 3306729776 3720070998 4251509712 4960094664 7440141996 9920189328 14880283992 21936609139 29760567984 43873218278 65809827417 87746436556 131619654834 153556263973 175492873112 197429482251 263239309668 307112527946 350985746224 394858964502 460668791919 526478619336 614225055892 789717929004 921337583838 1052957238672 1228450111784 1382006375757 1579435858008 1842675167676 2456900223568 2764012751514 3158871716016 3685350335352 5528025503028 7370700670704 11056051006056 22112102012112