Search a number
-
+
322231031122097 is a prime number
BaseRepresentation
bin100100101000100010100001…
…0001001010100100010110001
31120020220222121121001221221202
41021101011002021110202301
5314213413122431401342
63101154520410100545
7124605265225244546
oct11121050211244261
91506828547057852
10322231031122097
119374445a582899
123018264841a755
1310aa5343149c96
1459800ca99cbcd
15273be7e04d332
hex12511422548b1

322231031122097 has 2 divisors, whose sum is σ = 322231031122098. Its totient is φ = 322231031122096.

The previous prime is 322231031122087. The next prime is 322231031122139. The reversal of 322231031122097 is 790221130132223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314471915022736 + 7759116099361 = 17733356^2 + 2785519^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-322231031122097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 322231031122097.

It is not a weakly prime, because it can be changed into another prime (322231031122087) 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, 161115515561048 + 161115515561049.

It is an arithmetic number, because the mean of its divisors is an integer number (161115515561049).

Almost surely, 2322231031122097 is an apocalyptic number.

It is an amenable number.

322231031122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

322231031122097 is an equidigital number, since it uses as much as digits as its factorization.

322231031122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 322231031122097 in words is "three hundred twenty-two trillion, two hundred thirty-one billion, thirty-one million, one hundred twenty-two thousand, ninety-seven".