Search a number
-
+
137962370297 is a prime number
BaseRepresentation
bin1000000001111100110…
…0101011010011111001
3111012002211112120021102
42000133030223103321
54230021331322142
6143213512221145
712652556540633
oct2003714532371
9435084476242
10137962370297
1153567185854
12228a339a7b5
13100186a0c4b
14696ab79a53
1538c6dc9532
hex201f32b4f9

137962370297 has 2 divisors, whose sum is σ = 137962370298. Its totient is φ = 137962370296.

The previous prime is 137962370279. The next prime is 137962370311. The reversal of 137962370297 is 792073269731.

137962370297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (137962370279) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101487482041 + 36474888256 = 318571^2 + 190984^2 .

It is a cyclic number.

It is not a de Polignac number, because 137962370297 - 220 = 137961321721 is a prime.

It is not a weakly prime, because it can be changed into another prime (137962370237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68981185148 + 68981185149.

It is an arithmetic number, because the mean of its divisors is an integer number (68981185149).

Almost surely, 2137962370297 is an apocalyptic number.

It is an amenable number.

137962370297 is a deficient number, since it is larger than the sum of its proper divisors (1).

137962370297 is an equidigital number, since it uses as much as digits as its factorization.

137962370297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6001128, while the sum is 56.

The spelling of 137962370297 in words is "one hundred thirty-seven billion, nine hundred sixty-two million, three hundred seventy thousand, two hundred ninety-seven".