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212100003221232 = 24372217972846071
BaseRepresentation
bin110000001110011101100001…
…010110010100111011110000
31000210222120011220102011022110
4300032131201112110323300
5210300021301311034412
62031033221335405320
762450501542563060
oct6016354126247360
91023876156364273
10212100003221232
1161644119423425
121b956499b23840
139146c38048449
143a539a2c613a0
15197c31b633d3c
hexc0e761594ef0

212100003221232 has 80 divisors (see below), whose sum is σ = 626203052836352. Its totient is φ = 60599706405120.

The previous prime is 212100003221209. The next prime is 212100003221251. The reversal of 212100003221232 is 232122300001212.

It is a super-2 number, since 2×2121000032212322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 212100003221199 and 212100003221208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73100757 + ... + 75946827.

Almost surely, 2212100003221232 is an apocalyptic number.

It is an amenable number.

212100003221232 is an abundant number, since it is smaller than the sum of its proper divisors (414103049615120).

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

212100003221232 is a wasteful number, since it uses less digits than its factorization.

212100003221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067886 (or 3067880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212100003221232 its reverse (232122300001212), we get a palindrome (444222303222444).

The spelling of 212100003221232 in words is "two hundred twelve trillion, one hundred billion, three million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 221797 443594 665391 887188 1330782 1552579 1774376 2661564 2846071 3105158 3548752 4657737 5323128 5692142 6210316 8538213 9315474 10646256 11384284 12420632 17076426 18630948 19922497 22768568 24841264 34152852 37261896 39844994 45537136 59767491 68305704 74523792 79689988 119534982 136611408 159379976 239069964 318759952 478139928 956279856 631250009587 1262500019174 1893750028761 2525000038348 3787500057522 4418750067109 5050000076696 7575000115044 8837500134218 10100000153392 13256250201327 15150000230088 17675000268436 26512500402654 30300000460176 35350000536872 53025000805308 70700001073744 106050001610616 212100003221232