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21222010013 is a prime number
BaseRepresentation
bin10011110000111011…
…100010110010011101
32000202222221210211212
4103300323202302131
5321430313310023
613425501154205
71350621052211
oct236073426235
960688853755
1021222010013
1190002a9256
12414325b965
132002907399
141054704941
158431a2e78
hex4f0ee2c9d

21222010013 has 2 divisors, whose sum is σ = 21222010014. Its totient is φ = 21222010012.

The previous prime is 21222010003. The next prime is 21222010097. The reversal of 21222010013 is 31001022212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17098700644 + 4123309369 = 130762^2 + 64213^2 .

It is a cyclic number.

It is not a de Polignac number, because 21222010013 - 228 = 20953574557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21222010013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21222010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10611005006 + 10611005007.

It is an arithmetic number, because the mean of its divisors is an integer number (10611005007).

Almost surely, 221222010013 is an apocalyptic number.

It is an amenable number.

21222010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222010013 is an equidigital number, since it uses as much as digits as its factorization.

21222010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21222010013 its reverse (31001022212), we get a palindrome (52223032225).

The spelling of 21222010013 in words is "twenty-one billion, two hundred twenty-two million, ten thousand, thirteen".