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21210122200221 = 32671031493228733
BaseRepresentation
bin1001101001010010111011…
…10011001010010010011101
32210002200000212212122221200
410310221131303022102131
510240001312240401341
6113035443504350113
74316244413013513
oct464513563122235
983080025778850
1021210122200221
116838187042a59
1224667b7015339
13bab14b9a3416
1453480ac384b3
1526bacd51bdb6
hex134a5dcca49d

21210122200221 has 48 divisors (see below), whose sum is σ = 31417160201856. Its totient is φ = 13784502872448.

The previous prime is 21210122200193. The next prime is 21210122200247. The reversal of 21210122200221 is 12200222101212.

It is a happy number.

21210122200221 is a `hidden beast` number, since 2 + 1 + 210 + 12 + 220 + 0 + 221 = 666.

It is not a de Polignac number, because 21210122200221 - 210 = 21210122199197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21210122200194 and 21210122200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210122200271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 92614371 + ... + 92843103.

It is an arithmetic number, because the mean of its divisors is an integer number (654524170872).

Almost surely, 221210122200221 is an apocalyptic number.

It is an amenable number.

21210122200221 is a deficient number, since it is larger than the sum of its proper divisors (10207038001635).

21210122200221 is a wasteful number, since it uses less digits than its factorization.

21210122200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230402 (or 230399 counting only the distinct ones).

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

Adding to 21210122200221 its reverse (12200222101212), we get a palindrome (33410344301433).

Subtracting from 21210122200221 its reverse (12200222101212), we obtain a palindrome (9009900099009).

The spelling of 21210122200221 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 67 103 201 309 603 927 1493 4479 6901 13437 20703 62109 100031 153779 228733 300093 461337 686199 900279 1384011 2058597 10303193 15325111 23559499 30909579 45975333 70678497 92728737 137925999 212035491 341498369 1024495107 1578486433 3073485321 4735459299 14206377897 22880390723 35174332007 68641172169 105522996021 205923516507 316568988063 2356680244469 7070040733407 21210122200221