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212111000201112 = 233297123511825757
BaseRepresentation
bin110000001110100111110000…
…110100011110011110011000
31000211000121120022011121201120
4300032213300310132132120
5210300211312022413422
62031042240455045240
762451341214426645
oct6016476064363630
91024017508147646
10212111000201112
1161648851989151
121b958648970820
139147c9b45622c
143a54327586dcc
15197c761cc845c
hexc0e9f0d1e798

212111000201112 has 128 divisors (see below), whose sum is σ = 556526092953600. Its totient is φ = 67275457088000.

The previous prime is 212111000201059. The next prime is 212111000201143. The reversal of 212111000201112 is 211102000111212.

It is a happy number.

212111000201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121110002011122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212111000201091 and 212111000201100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115264138 + ... + 117089894.

It is an arithmetic number, because the mean of its divisors is an integer number (4347860101200).

Almost surely, 2212111000201112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111000201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278263046476800).

212111000201112 is an abundant number, since it is smaller than the sum of its proper divisors (344415092752488).

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

212111000201112 is a wasteful number, since it uses less digits than its factorization.

212111000201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828217 (or 1828213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212111000201112 its reverse (211102000111212), we get a palindrome (423213000312324).

The spelling of 212111000201112 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 116 142 174 213 232 284 348 426 568 696 852 1704 2059 2351 4118 4702 6177 7053 8236 9404 12354 14106 16472 18808 24708 28212 49416 56424 68179 136358 166921 204537 272716 333842 409074 500763 545432 667684 818148 1001526 1335368 1636296 1825757 2003052 3651514 4006104 4840709 5477271 7303028 9681418 10954542 14522127 14606056 19362836 21909084 29044254 38725672 43818168 52946953 58088508 105893906 116177016 129628747 158840859 211787812 259257494 317681718 388886241 423575624 518514988 635363436 777772482 1037029976 1270726872 1555544964 3111089928 3759233663 4292354707 7518467326 8584709414 11277700989 12877064121 15036934652 17169418828 22555401978 25754128242 30073869304 34338837656 45110803956 51508256484 90221607912 103016512968 124478286503 248956573006 304757184197 373434859509 497913146012 609514368394 746869719018 914271552591 995826292024 1219028736788 1493739438036 1828543105182 2438057473576 2987478876072 3657086210364 7314172420728 8837958341713 17675916683426 26513875025139 35351833366852 53027750050278 70703666733704 106055500100556 212111000201112