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123123333013229 is a prime number
BaseRepresentation
bin11011111111101011100010…
…100001110001111011101101
3121010221110211202212112111102
4123333223202201301323231
5112114223041222410404
61113510024530532445
734635236653564343
oct3377534241617355
9533843752775442
10123123333013229
113625a34873819a
1211986163137125
1353916328148c3
1422592b5bdd993
15e37ac177471e
hex6ffae2871eed

123123333013229 has 2 divisors, whose sum is σ = 123123333013230. Its totient is φ = 123123333013228.

The previous prime is 123123333013159. The next prime is 123123333013237. The reversal of 123123333013229 is 922310333321321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92349985812100 + 30773347201129 = 9609890^2 + 5547373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123123333013229 is a prime.

It is a super-2 number, since 2×1231233330132292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123123333013192 and 123123333013201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123123332013229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61561666506614 + 61561666506615.

It is an arithmetic number, because the mean of its divisors is an integer number (61561666506615).

Almost surely, 2123123333013229 is an apocalyptic number.

It is an amenable number.

123123333013229 is a deficient number, since it is larger than the sum of its proper divisors (1).

123123333013229 is an equidigital number, since it uses as much as digits as its factorization.

123123333013229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 38.

The spelling of 123123333013229 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, three hundred thirty-three million, thirteen thousand, two hundred twenty-nine".