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212101202101212 = 22327437929609769
BaseRepresentation
bin110000001110011110101000…
…110011101100001111011100
31000210222200021110022120110200
4300032132220303230033130
5210300031230214214322
62031033540323503500
762450543341105014
oct6016365063541734
91023880243276420
10212101202101212
1161644684134726
121b956773527b90
139147099539b98
143a53a7817cc44
15197c38b9ec8ac
hexc0e7a8cec3dc

212101202101212 has 36 divisors (see below), whose sum is σ = 536866299868080. Its totient is φ = 70605245374272.

The previous prime is 212101202101193. The next prime is 212101202101253.

212101202101212 is a `hidden beast` number, since 2 + 1 + 210 + 120 + 210 + 121 + 2 = 666.

212101202101212 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 3964778137 + ... + 3964831632.

Almost surely, 2212101202101212 is an apocalyptic number.

It is an amenable number.

212101202101212 is an abundant number, since it is smaller than the sum of its proper divisors (324765097766868).

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

212101202101212 is a wasteful number, since it uses less digits than its factorization.

212101202101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929610522 (or 7929610517 counting only the distinct ones).

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

It can be divided in two parts, 21210120 and 2101212, that added together give a palindrome (23311332).

The spelling of 212101202101212 in words is "two hundred twelve trillion, one hundred one billion, two hundred two million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 743 1486 2229 2972 4458 6687 8916 13374 26748 7929609769 15859219538 23788829307 31718439076 47577658614 71366487921 95155317228 142732975842 285465951684 5891700058367 11783400116734 17675100175101 23566800233468 35350200350202 53025300525303 70700400700404 106050601050606 212101202101212