Search a number
-
+
137242033751 is a prime number
BaseRepresentation
bin111111111010001000…
…0110011111001010111
3111010020122002200022002
41333310100303321113
54222032430040001
6143014221025515
712625662016244
oct1776420637127
9433218080262
10137242033751
1153227606299
12227220b529b
13cc323911c4
1468dd22a5cb
153883a3b46b
hex1ff4433e57

137242033751 has 2 divisors, whose sum is σ = 137242033752. Its totient is φ = 137242033750.

The previous prime is 137242033723. The next prime is 137242033771. The reversal of 137242033751 is 157330242731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137242033751 - 222 = 137237839447 is a prime.

It is a super-2 number, since 2×1372420337512 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137242033771) 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, 68621016875 + 68621016876.

It is an arithmetic number, because the mean of its divisors is an integer number (68621016876).

Almost surely, 2137242033751 is an apocalyptic number.

137242033751 is a deficient number, since it is larger than the sum of its proper divisors (1).

137242033751 is an equidigital number, since it uses as much as digits as its factorization.

137242033751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 137242033751 in words is "one hundred thirty-seven billion, two hundred forty-two million, thirty-three thousand, seven hundred fifty-one".