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22321311317 is a prime number
BaseRepresentation
bin10100110010011101…
…000010111001010101
32010121121111002201222
4110302131002321111
5331203223430232
614130531100125
71420100005244
oct246235027125
963547432658
1022321311317
119514886628
1243ab441645
1321495a2026
14111a70095b
158a994bd12
hex532742e55

22321311317 has 2 divisors, whose sum is σ = 22321311318. Its totient is φ = 22321311316.

The previous prime is 22321311241. The next prime is 22321311347. The reversal of 22321311317 is 71311312322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16992165316 + 5329146001 = 130354^2 + 73001^2 .

It is a cyclic number.

It is not a de Polignac number, because 22321311317 - 210 = 22321310293 is a prime.

It is a super-3 number, since 3×223213113173 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22321311347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11160655658 + 11160655659.

It is an arithmetic number, because the mean of its divisors is an integer number (11160655659).

Almost surely, 222321311317 is an apocalyptic number.

It is an amenable number.

22321311317 is a deficient number, since it is larger than the sum of its proper divisors (1).

22321311317 is an equidigital number, since it uses as much as digits as its factorization.

22321311317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 26.

Adding to 22321311317 its reverse (71311312322), we get a palindrome (93632623639).

The spelling of 22321311317 in words is "twenty-two billion, three hundred twenty-one million, three hundred eleven thousand, three hundred seventeen".