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212112111110202 = 232297313740630441
BaseRepresentation
bin110000001110101000110011…
…000010010000100000111010
31000211000201102201112122111200
4300032220303002100200322
5210300221100421011302
62031042543021435030
762451410564126652
oct6016506302204072
91024021381478450
10212112111110202
1161649271a74636
121b9588b8a0ba76
1391481176564a4
143a543d0d25362
15197c7c95b681c
hexc0ea3309083a

212112111110202 has 96 divisors (see below), whose sum is σ = 485454146233680. Its totient is φ = 66839349104640.

The previous prime is 212112111110149. The next prime is 212112111110213. The reversal of 212112111110202 is 202011111211212.

It is a happy number.

212112111110202 is a `hidden beast` number, since 21 + 211 + 211 + 11 + 10 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 82515949301241 + 129596161808961 = 9083829^2 + 11384031^2 .

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

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, 15094699 + ... + 25535742.

Almost surely, 2212112111110202 is an apocalyptic number.

212112111110202 is an abundant number, since it is smaller than the sum of its proper divisors (273342035123478).

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

212112111110202 is a wasteful number, since it uses less digits than its factorization.

212112111110202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40630688 (or 40630685 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212112111110202 its reverse (202011111211212), we get a palindrome (414123222321414).

The spelling of 212112111110202 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred eleven million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 9 18 29 58 73 87 137 146 174 219 261 274 411 438 522 657 822 1233 1314 2117 2466 3973 4234 6351 7946 10001 11919 12702 19053 20002 23838 30003 35757 38106 60006 71514 90009 180018 290029 580058 870087 1740174 2610261 5220522 40630441 81260882 121891323 243782646 365673969 731347938 1178282789 2356565578 2966022193 3534848367 5566370417 5932044386 7069696734 8898066579 10604545101 11132740834 16699111251 17796133158 21209090202 26694199737 33398222502 50097333753 53388399474 86014643597 100194667506 161424742093 172029287194 258043930791 322849484186 406345040441 484274226279 516087861582 774131792373 812690080882 968548452558 1219035121323 1452822678837 1548263584746 2438070242646 2905645357674 3657105363969 7314210727938 11784006172789 23568012345578 35352018518367 70704037036734 106056055555101 212112111110202