Search a number
-
+
322323222113281 is a prime number
BaseRepresentation
bin100100101001001101011100…
…1001010000010110000000001
31120021020210120112200112221201
41021102122321022002300001
5314221420424330111111
63101305124415021201
7124615040630606524
oct11122327112026001
91507223515615851
10322323222113281
119377a568a2aaa4
1230198496b0a801
1310ab0c45b6823c
145984754870bbb
15273e5779176c1
hex12526b9282c01

322323222113281 has 2 divisors, whose sum is σ = 322323222113282. Its totient is φ = 322323222113280.

The previous prime is 322323222113239. The next prime is 322323222113311. The reversal of 322323222113281 is 182311222323223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231953387360256 + 90369834753025 = 15230016^2 + 9506305^2 .

It is a cyclic number.

It is not a de Polignac number, because 322323222113281 - 237 = 322185783159809 is a prime.

It is a super-2 number, since 2×3223232221132812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 322323222113281.

It is not a weakly prime, because it can be changed into another prime (322323222116281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161161611056640 + 161161611056641.

It is an arithmetic number, because the mean of its divisors is an integer number (161161611056641).

Almost surely, 2322323222113281 is an apocalyptic number.

It is an amenable number.

322323222113281 is a deficient number, since it is larger than the sum of its proper divisors (1).

322323222113281 is an equidigital number, since it uses as much as digits as its factorization.

322323222113281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 82944, while the sum is 37.

The spelling of 322323222113281 in words is "three hundred twenty-two trillion, three hundred twenty-three billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred eighty-one".