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123113222321 is a prime number
BaseRepresentation
bin111001010101000011…
…1101011000010110001
3102202202222020200122212
41302222013223002301
54004113441103241
6132320223341505
711615601060215
oct1625207530261
9382688220585
10123113222321
1148237228131
121ba3a451895
13b7c019185b
145d5c9c2945
153308461beb
hex1caa1eb0b1

123113222321 has 2 divisors, whose sum is σ = 123113222322. Its totient is φ = 123113222320.

The previous prime is 123113222251. The next prime is 123113222329. The reversal of 123113222321 is 123222311321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90977640625 + 32135581696 = 301625^2 + 179264^2 .

It is a cyclic number.

It is not a de Polignac number, because 123113222321 - 222 = 123109028017 is a prime.

It is not a weakly prime, because it can be changed into another prime (123113222329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61556611160 + 61556611161.

It is an arithmetic number, because the mean of its divisors is an integer number (61556611161).

Almost surely, 2123113222321 is an apocalyptic number.

It is an amenable number.

123113222321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123113222321 is an equidigital number, since it uses as much as digits as its factorization.

123113222321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

Adding to 123113222321 its reverse (123222311321), we get a palindrome (246335533642).

The spelling of 123113222321 in words is "one hundred twenty-three billion, one hundred thirteen million, two hundred twenty-two thousand, three hundred twenty-one".