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322142324331257 is a prime number
BaseRepresentation
bin100100100111111001001101…
…0110011110001001011111001
31120020121111122110121002021222
41021033302122303301023321
5314210434440012100012
63101050050223441425
7124566005051046233
oct11117623263611371
91506544573532258
10322142324331257
119370a879940a01
1230169410756275
1310a99b77225a31
145979ab3735253
1527399db4be972
hex124fc9acf12f9

322142324331257 has 2 divisors, whose sum is σ = 322142324331258. Its totient is φ = 322142324331256.

The previous prime is 322142324331169. The next prime is 322142324331277. The reversal of 322142324331257 is 752133423241223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215536781931241 + 106605542400016 = 14681171^2 + 10324996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-322142324331257 is a prime.

It is not a weakly prime, because it can be changed into another prime (322142324331277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161071162165628 + 161071162165629.

It is an arithmetic number, because the mean of its divisors is an integer number (161071162165629).

Almost surely, 2322142324331257 is an apocalyptic number.

It is an amenable number.

322142324331257 is a deficient number, since it is larger than the sum of its proper divisors (1).

322142324331257 is an equidigital number, since it uses as much as digits as its factorization.

322142324331257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1451520, while the sum is 44.

The spelling of 322142324331257 in words is "three hundred twenty-two trillion, one hundred forty-two billion, three hundred twenty-four million, three hundred thirty-one thousand, two hundred fifty-seven".