Search a number
-
+
22321001000329 is a prime number
BaseRepresentation
bin1010001001101000000110…
…10101011110110110001001
32221000212101221022201220221
411010310003111132312021
510411201402224002304
6115250043140350041
74462432133014453
oct504640325366611
987025357281827
1022321001000329
117126313180539
122605b620a5321
13c5bb2754bc05
145724b10632d3
1528a9490bb054
hex144d0355ed89

22321001000329 has 2 divisors, whose sum is σ = 22321001000330. Its totient is φ = 22321001000328.

The previous prime is 22321001000299. The next prime is 22321001000351. The reversal of 22321001000329 is 92300010012322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16545150110329 + 5775850890000 = 4067573^2 + 2403300^2 .

It is a cyclic number.

It is not a de Polignac number, because 22321001000329 - 225 = 22320967445897 is a prime.

It is a super-3 number, since 3×223210010003293 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22321071000329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11160500500164 + 11160500500165.

It is an arithmetic number, because the mean of its divisors is an integer number (11160500500165).

Almost surely, 222321001000329 is an apocalyptic number.

It is an amenable number.

22321001000329 is a deficient number, since it is larger than the sum of its proper divisors (1).

22321001000329 is an equidigital number, since it uses as much as digits as its factorization.

22321001000329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 22321001000329 in words is "twenty-two trillion, three hundred twenty-one billion, one million, three hundred twenty-nine", and thus it is an aban number.