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123322303201 is a prime number
BaseRepresentation
bin111001011011010010…
…1010000001011100001
3102210022112200002201011
41302312211100023201
54010031002200301
6132353052540521
711624020165366
oct1626645201341
9383275602634
10123322303201
1148334252749
121ba98481741
13b8245a8256
145d7c68a46d
15331b9b1a51
hex1cb69502e1

123322303201 has 2 divisors, whose sum is σ = 123322303202. Its totient is φ = 123322303200.

The previous prime is 123322303199. The next prime is 123322303213. The reversal of 123322303201 is 102303223321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95651644176 + 27670659025 = 309276^2 + 166345^2 .

It is a cyclic number.

It is not a de Polignac number, because 123322303201 - 21 = 123322303199 is a prime.

Together with 123322303199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (123322303301) 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, 61661151600 + 61661151601.

It is an arithmetic number, because the mean of its divisors is an integer number (61661151601).

Almost surely, 2123322303201 is an apocalyptic number.

It is an amenable number.

123322303201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123322303201 is an equidigital number, since it uses as much as digits as its factorization.

123322303201 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 22.

Adding to 123322303201 its reverse (102303223321), we get a palindrome (225625526522).

The spelling of 123322303201 in words is "one hundred twenty-three billion, three hundred twenty-two million, three hundred three thousand, two hundred one".