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212101010111112 = 233172292270110991
BaseRepresentation
bin110000001110011110011101…
…010111010011101010001000
31000210222122210002001110120020
4300032132131113103222020
5210300030332042023422
62031033505304500440
762450535520161063
oct6016363527235210
91023878702043506
10212101010111112
1161644595822721
121b95671b17a720
139147068828685
143a53a5a8838da
15197c379c2695c
hexc0e79d5d3a88

212101010111112 has 64 divisors (see below), whose sum is σ = 563895570412800. Its totient is φ = 66250919132160.

The previous prime is 212101010111093. The next prime is 212101010111173. The reversal of 212101010111112 is 211111010101212.

212101010111112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212101010111091 and 212101010111100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134962064 + ... + 1135148927.

It is an arithmetic number, because the mean of its divisors is an integer number (8810868287700).

Almost surely, 2212101010111112 is an apocalyptic number.

It is an amenable number.

212101010111112 is an abundant number, since it is smaller than the sum of its proper divisors (351794560301688).

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

212101010111112 is a wasteful number, since it uses less digits than its factorization.

212101010111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270111246 (or 2270111242 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 212101010111112 its reverse (211111010101212), we get a palindrome (423212020212324).

The spelling of 212101010111112 in words is "two hundred twelve trillion, one hundred one billion, ten million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 229 408 458 687 916 1374 1832 2748 3893 5496 7786 11679 15572 23358 31144 46716 93432 2270110991 4540221982 6810332973 9080443964 13620665946 18160887928 27241331892 38591886847 54482663784 77183773694 115775660541 154367547388 231551321082 308735094776 463102642164 519855416939 926205284328 1039710833878 1559566250817 2079421667756 3119132501634 4158843335512 6238265003268 8837542087963 12476530006536 17675084175926 26512626263889 35350168351852 53025252527778 70700336703704 106050505055556 212101010111112