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123312321229 is a prime number
BaseRepresentation
bin111001011010111111…
…1001011001011001101
3102210021211212222000111
41302311333023023031
54010020423234404
6132352055000021
711623536302416
oct1626577131315
9383254788014
10123312321229
1148329655089
121ba95069011
13b8224c1966
145d7b20c80d
15331ab8e104
hex1cb5fcb2cd

123312321229 has 2 divisors, whose sum is σ = 123312321230. Its totient is φ = 123312321228.

The previous prime is 123312321151. The next prime is 123312321259. The reversal of 123312321229 is 922123213321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113511717225 + 9800604004 = 336915^2 + 98998^2 .

It is a cyclic number.

It is not a de Polignac number, because 123312321229 - 221 = 123310224077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123312321229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123312321259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656160614 + 61656160615.

It is an arithmetic number, because the mean of its divisors is an integer number (61656160615).

Almost surely, 2123312321229 is an apocalyptic number.

It is an amenable number.

123312321229 is a deficient number, since it is larger than the sum of its proper divisors (1).

123312321229 is an equidigital number, since it uses as much as digits as its factorization.

123312321229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

The spelling of 123312321229 in words is "one hundred twenty-three billion, three hundred twelve million, three hundred twenty-one thousand, two hundred twenty-nine".