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212122202101002 = 232232917668016167
BaseRepresentation
bin110000001110110010001100…
…100000010101010100001010
31000211001200110222112002112200
4300032302030200111110022
5210300402232214213002
62031051332214421030
762452215625132134
oct6016621440252412
91024050428462480
10212122202101002
1161652580087356
121b95a854361776
13914906515186b
143a54aab1b2054
15197cbba449b1c
hexc0ec8c81550a

212122202101002 has 48 divisors (see below), whose sum is σ = 496117893997440. Its totient is φ = 65300987749536.

The previous prime is 212122202100989. The next prime is 212122202101039. The reversal of 212122202101002 is 200101202221212.

It is a happy number.

212122202101002 is a `hidden beast` number, since 21 + 212 + 220 + 210 + 1 + 0 + 0 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 8833996078 + ... + 8834020089.

It is an arithmetic number, because the mean of its divisors is an integer number (10335789458280).

Almost surely, 2212122202101002 is an apocalyptic number.

212122202101002 is an abundant number, since it is smaller than the sum of its proper divisors (283995691896438).

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

212122202101002 is a wasteful number, since it uses less digits than its factorization.

212122202101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17668016227 (or 17668016224 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212122202101002 its reverse (200101202221212), we get a palindrome (412223404322214).

It can be divided in two parts, 21212220210 and 1002, that added together give a palindrome (21212221212).

The spelling of 212122202101002 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred two million, one hundred one thousand, two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 12006 17668016167 35336032334 53004048501 106008097002 159012145503 318024291006 406364371841 512372468843 812728743682 1024744937686 1219093115523 1537117406529 2438186231046 3074234813058 3657279346569 4611352219587 7314558693138 9222704439174 11784566783389 23569133566778 35353700350167 70707400700334 106061101050501 212122202101002