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137226293 is a prime number
BaseRepresentation
bin10000010110111…
…10100000110101
3100120012211002022
420023132200311
5240112220133
621341122525
73254255441
oct1013364065
9316184068
10137226293
1170508166
1239b59445
13225789b9
1414321821
15c0a9998
hex82de835

137226293 has 2 divisors, whose sum is σ = 137226294. Its totient is φ = 137226292.

The previous prime is 137226283. The next prime is 137226301. The reversal of 137226293 is 392622731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70526404 + 66699889 = 8398^2 + 8167^2 .

It is an emirp because it is prime and its reverse (392622731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137226293 - 222 = 133031989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137226223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68613146 + 68613147.

It is an arithmetic number, because the mean of its divisors is an integer number (68613147).

Almost surely, 2137226293 is an apocalyptic number.

It is an amenable number.

137226293 is a deficient number, since it is larger than the sum of its proper divisors (1).

137226293 is an equidigital number, since it uses as much as digits as its factorization.

137226293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 35.

The square root of 137226293 is about 11714.3626800607. The cubic root of 137226293 is about 515.7973547257.

The spelling of 137226293 in words is "one hundred thirty-seven million, two hundred twenty-six thousand, two hundred ninety-three".