Search a number
-
+
137241052633 is a prime number
BaseRepresentation
bin111111111010000110…
…1000100010111011001
3111010020120020211110101
41333310031010113121
54222032202141013
6143014144015401
712625650461656
oct1776415042731
9433216224411
10137241052633
1153226aa6153
1222721901561
13cc32109769
1468dd052c2d
1538838e58dd
hex1ff43445d9

137241052633 has 2 divisors, whose sum is σ = 137241052634. Its totient is φ = 137241052632.

The previous prime is 137241052609. The next prime is 137241052651. The reversal of 137241052633 is 336250142731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70303461904 + 66937590729 = 265148^2 + 258723^2 .

It is an emirp because it is prime and its reverse (336250142731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137241052633 - 233 = 128651118041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137241052592 and 137241052601.

It is not a weakly prime, because it can be changed into another prime (137241052133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68620526316 + 68620526317.

It is an arithmetic number, because the mean of its divisors is an integer number (68620526317).

Almost surely, 2137241052633 is an apocalyptic number.

It is an amenable number.

137241052633 is a deficient number, since it is larger than the sum of its proper divisors (1).

137241052633 is an equidigital number, since it uses as much as digits as its factorization.

137241052633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 137241052633 in words is "one hundred thirty-seven billion, two hundred forty-one million, fifty-two thousand, six hundred thirty-three".