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21222122200021 = 1721217132145677
BaseRepresentation
bin1001101001101001010010…
…00011100001101111010101
32210010211000011222211000201
410310310221003201233111
510240200401240400041
6113045150334140501
74320150654226621
oct464645103415725
983124004884021
1021222122200021
1168422847a4466
122468ba5951731
13bac311b37b12
14535228856181
1526c081c8c631
hex134d290e1bd5

21222122200021 has 24 divisors (see below), whose sum is σ = 22580013596616. Its totient is φ = 19941805424640.

The previous prime is 21222122200009. The next prime is 21222122200031. The reversal of 21222122200021 is 12000222122212.

It can be written as a sum of positive squares in 12 ways, for example, as 1933239968100 + 19288882231921 = 1390410^2 + 4391911^2 .

It is not a de Polignac number, because 21222122200021 - 241 = 19023098944469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222122200031) 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, 464590035 + ... + 464635711.

It is an arithmetic number, because the mean of its divisors is an integer number (940833899859).

Almost surely, 221222122200021 is an apocalyptic number.

It is an amenable number.

21222122200021 is a deficient number, since it is larger than the sum of its proper divisors (1357891396595).

21222122200021 is a wasteful number, since it uses less digits than its factorization.

21222122200021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48249 (or 48232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21222122200021 its reverse (12000222122212), we get a palindrome (33222344322233).

The spelling of 21222122200021 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, twenty-one".

Divisors: 1 17 289 1217 1321 20689 22457 45677 351713 381769 776509 1607657 13200653 27330169 55588909 60339317 464612873 945011453 1025768389 16065194701 17438062613 73432948789 1248360129413 21222122200021