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137303818429 is a prime number
BaseRepresentation
bin111111111011111110…
…0100000000010111101
3111010101221100122221111
41333313330200002331
54222144234142204
6143024305202021
712630342125431
oct1776774400275
9433357318844
10137303818429
1153259476008
122273a930311
13cc4211459b
1469075109c1
153889192d04
hex1ff7f200bd

137303818429 has 2 divisors, whose sum is σ = 137303818430. Its totient is φ = 137303818428.

The previous prime is 137303818411. The next prime is 137303818439. The reversal of 137303818429 is 924818303731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128756815929 + 8547002500 = 358827^2 + 92450^2 .

It is a cyclic number.

It is not a de Polignac number, because 137303818429 - 225 = 137270263997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137303818439) 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, 68651909214 + 68651909215.

It is an arithmetic number, because the mean of its divisors is an integer number (68651909215).

Almost surely, 2137303818429 is an apocalyptic number.

It is an amenable number.

137303818429 is a deficient number, since it is larger than the sum of its proper divisors (1).

137303818429 is an equidigital number, since it uses as much as digits as its factorization.

137303818429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 137303818429 in words is "one hundred thirty-seven billion, three hundred three million, eight hundred eighteen thousand, four hundred twenty-nine".