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22432122033313 is a prime number
BaseRepresentation
bin1010001100110111000101…
…01010100101010010100001
32221102111020011011002110011
411012123202222211102201
510420011441220031223
6115413101414004521
74503444616141606
oct506334252452241
987374204132404
1022432122033313
1171694560a1293
1226235b4346741
13c69456082135
14577a1309c6ad
1528d79e80180d
hex1466e2aa54a1

22432122033313 has 2 divisors, whose sum is σ = 22432122033314. Its totient is φ = 22432122033312.

The previous prime is 22432122033163. The next prime is 22432122033401. The reversal of 22432122033313 is 31333022123422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14269604465169 + 8162517568144 = 3777513^2 + 2857012^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22432122033313 is a prime.

It is a super-2 number, since 2×224321220333132 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22432122033913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11216061016656 + 11216061016657.

It is an arithmetic number, because the mean of its divisors is an integer number (11216061016657).

Almost surely, 222432122033313 is an apocalyptic number.

It is an amenable number.

22432122033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22432122033313 is an equidigital number, since it uses as much as digits as its factorization.

22432122033313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 22432122033313 its reverse (31333022123422), we get a palindrome (53765144156735).

The spelling of 22432122033313 in words is "twenty-two trillion, four hundred thirty-two billion, one hundred twenty-two million, thirty-three thousand, three hundred thirteen".