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22212100213 is a prime number
BaseRepresentation
bin10100101011111100…
…011100000001110101
32010022222222121021021
4110223330130001311
5330442244201323
614112030221141
71414302510442
oct245374340165
963288877237
1022212100213
119469173716
12437a9547b1
13212ca84a84
141109dd29c9
158a007805d
hex52bf1c075

22212100213 has 2 divisors, whose sum is σ = 22212100214. Its totient is φ = 22212100212.

The previous prime is 22212100177. The next prime is 22212100217. The reversal of 22212100213 is 31200121222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21858735409 + 353364804 = 147847^2 + 18798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22212100213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22212100217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11106050106 + 11106050107.

It is an arithmetic number, because the mean of its divisors is an integer number (11106050107).

Almost surely, 222212100213 is an apocalyptic number.

It is an amenable number.

22212100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212100213 is an equidigital number, since it uses as much as digits as its factorization.

22212100213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22212100213 its reverse (31200121222), we get a palindrome (53412221435).

The spelling of 22212100213 in words is "twenty-two billion, two hundred twelve million, one hundred thousand, two hundred thirteen".