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21220002202221 = 3237611044651317
BaseRepresentation
bin1001101001100101010101…
…01100011000001001101101
32210010121112102211202202200
410310302222230120021231
510240132031030432341
6113044200123212113
74320044302443204
oct464625254301155
983117472752680
1021220002202221
116841397047769
1224686b3977039
13bac064867854
145350a708223b
1526beaaac4db6
hex134caab1826d

21220002202221 has 24 divisors (see below), whose sum is σ = 31995580567704. Its totient is φ = 13538681055360.

The previous prime is 21220002202181. The next prime is 21220002202241. The reversal of 21220002202221 is 12220220002212.

21220002202221 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 0 + 220 + 2 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143997480900 + 21076004721321 = 379470^2 + 4590861^2 .

It is not a de Polignac number, because 21220002202221 - 213 = 21220002194029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21220002202194 and 21220002202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220002202241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522305346 + ... + 522345971.

It is an arithmetic number, because the mean of its divisors is an integer number (1333149190321).

Almost surely, 221220002202221 is an apocalyptic number.

It is an amenable number.

21220002202221 is a deficient number, since it is larger than the sum of its proper divisors (10775578365483).

21220002202221 is a wasteful number, since it uses less digits than its factorization.

21220002202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044651421 (or 1044651418 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21220002202221 its reverse (12220220002212), we get a palindrome (33440222204433).

The spelling of 21220002202221 in words is "twenty-one trillion, two hundred twenty billion, two million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 61 111 183 333 549 2257 6771 20313 1044651317 3133953951 9401861853 38652098729 63723730337 115956296187 191171191011 347868888561 573513573033 2357778022469 7073334067407 21220002202221