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123342012133 is a prime number
BaseRepresentation
bin111001011011111000…
…0011011111011100101
3102210100220202102021121
41302313300123323211
54010101023342013
6132355035213541
711624346543004
oct1626760337345
9383326672247
10123342012133
114834439431a
121baa2ba72b1
13b8286b9042
145d8113ac3b
15331d5a658d
hex1cb7c1bee5

123342012133 has 2 divisors, whose sum is σ = 123342012134. Its totient is φ = 123342012132.

The previous prime is 123342012107. The next prime is 123342012151. The reversal of 123342012133 is 331210243321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97883256769 + 25458755364 = 312863^2 + 159558^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123342012133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123342012098 and 123342012107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123342052133) 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, 61671006066 + 61671006067.

It is an arithmetic number, because the mean of its divisors is an integer number (61671006067).

Almost surely, 2123342012133 is an apocalyptic number.

It is an amenable number.

123342012133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123342012133 is an equidigital number, since it uses as much as digits as its factorization.

123342012133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 123342012133 its reverse (331210243321), we get a palindrome (454552255454).

The spelling of 123342012133 in words is "one hundred twenty-three billion, three hundred forty-two million, twelve thousand, one hundred thirty-three".