Search a number
-
+
133149013 is a prime number
BaseRepresentation
bin1111110111110…
…11000101010101
3100021112200002221
413323323011111
5233041232023
621113502341
73204514354
oct773730525
9307480087
10133149013
1169182908
12387119b1
132177bbca
141397d99b
15ba5185d
hex7efb155

133149013 has 2 divisors, whose sum is σ = 133149014. Its totient is φ = 133149012.

The previous prime is 133148993. The next prime is 133149019. The reversal of 133149013 is 310941331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113060689 + 20088324 = 10633^2 + 4482^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133149013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133149019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66574506 + 66574507.

It is an arithmetic number, because the mean of its divisors is an integer number (66574507).

Almost surely, 2133149013 is an apocalyptic number.

It is an amenable number.

133149013 is a deficient number, since it is larger than the sum of its proper divisors (1).

133149013 is an equidigital number, since it uses as much as digits as its factorization.

133149013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 133149013 is about 11539.0213189854. The cubic root of 133149013 is about 510.6374356848.

The spelling of 133149013 in words is "one hundred thirty-three million, one hundred forty-nine thousand, thirteen".