Search a number
-
+
137833301 is a prime number
BaseRepresentation
bin10000011011100…
…10101101010101
3100121100122202002
420031302231111
5240241131201
621402125045
73262364234
oct1015625525
9317318662
10137833301
1170892221
123a1b0785
132272c088
141443cb1b
15c17976b
hex8372b55

137833301 has 2 divisors, whose sum is σ = 137833302. Its totient is φ = 137833300.

The previous prime is 137833291. The next prime is 137833307. The reversal of 137833301 is 103338731.

137833301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129937201 + 7896100 = 11399^2 + 2810^2 .

It is an emirp because it is prime and its reverse (103338731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137833301 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137833307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68916650 + 68916651.

It is an arithmetic number, because the mean of its divisors is an integer number (68916651).

Almost surely, 2137833301 is an apocalyptic number.

It is an amenable number.

137833301 is a deficient number, since it is larger than the sum of its proper divisors (1).

137833301 is an equidigital number, since it uses as much as digits as its factorization.

137833301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 137833301 is about 11740.2427998743. The cubic root of 137833301 is about 516.5567636278.

The spelling of 137833301 in words is "one hundred thirty-seven million, eight hundred thirty-three thousand, three hundred one".