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123137429 is a prime number
BaseRepresentation
bin1110101011011…
…10110110010101
322120201000210112
413111232312111
5223010344204
620115132405
73023436152
oct725566625
9276630715
10123137429
1163564a78
12352a4105
131c684cac
14124d5229
15ac2526e
hex756ed95

123137429 has 2 divisors, whose sum is σ = 123137430. Its totient is φ = 123137428.

The previous prime is 123137401. The next prime is 123137431. The reversal of 123137429 is 924731321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117722500 + 5414929 = 10850^2 + 2327^2 .

It is an emirp because it is prime and its reverse (924731321) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123137429 is a prime.

Together with 123137431, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123137395 and 123137404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123137129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61568714 + 61568715.

It is an arithmetic number, because the mean of its divisors is an integer number (61568715).

Almost surely, 2123137429 is an apocalyptic number.

It is an amenable number.

123137429 is a deficient number, since it is larger than the sum of its proper divisors (1).

123137429 is an equidigital number, since it uses as much as digits as its factorization.

123137429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 32.

The square root of 123137429 is about 11096.7305545372. The cubic root of 123137429 is about 497.5041340363.

The spelling of 123137429 in words is "one hundred twenty-three million, one hundred thirty-seven thousand, four hundred twenty-nine".