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123312200129 is a prime number
BaseRepresentation
bin111001011010111111…
…0101101100111000001
3102210021211122210220022
41302311332231213001
54010020410401004
6132352052223225
711623535256356
oct1626576554701
9383254583808
10123312200129
11483295820a8
121ba9500ab15
13b82247b7c1
145d7b1ba62d
15331ab682be
hex1cb5fad9c1

123312200129 has 2 divisors, whose sum is σ = 123312200130. Its totient is φ = 123312200128.

The previous prime is 123312200119. The next prime is 123312200159. The reversal of 123312200129 is 921002213321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116043785104 + 7268415025 = 340652^2 + 85255^2 .

It is a cyclic number.

It is not a de Polignac number, because 123312200129 - 24 = 123312200113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123312200098 and 123312200107.

It is not a weakly prime, because it can be changed into another prime (123312200119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656100064 + 61656100065.

It is an arithmetic number, because the mean of its divisors is an integer number (61656100065).

Almost surely, 2123312200129 is an apocalyptic number.

It is an amenable number.

123312200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

123312200129 is an equidigital number, since it uses as much as digits as its factorization.

123312200129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 123312200129 in words is "one hundred twenty-three billion, three hundred twelve million, two hundred thousand, one hundred twenty-nine".