Search a number
-
+
137303402317 is a prime number
BaseRepresentation
bin111111111011111101…
…0111010011101001101
3111010101220120112010221
41333313322322131031
54222144132333232
6143024252231341
712630335443324
oct1776772723515
9433356515127
10137303402317
1153259211414
122273a76b551
13cc41cca073
1469074430bb
15388910e897
hex1ff7eba74d

137303402317 has 2 divisors, whose sum is σ = 137303402318. Its totient is φ = 137303402316.

The previous prime is 137303402293. The next prime is 137303402351. The reversal of 137303402317 is 713204303731.

It is an a-pointer prime, because the next prime (137303402351) can be obtained adding 137303402317 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84242740516 + 53060661801 = 290246^2 + 230349^2 .

It is a cyclic number.

It is not a de Polignac number, because 137303402317 - 227 = 137169184589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137303402387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68651701158 + 68651701159.

It is an arithmetic number, because the mean of its divisors is an integer number (68651701159).

Almost surely, 2137303402317 is an apocalyptic number.

It is an amenable number.

137303402317 is a deficient number, since it is larger than the sum of its proper divisors (1).

137303402317 is an equidigital number, since it uses as much as digits as its factorization.

137303402317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 34.

The spelling of 137303402317 in words is "one hundred thirty-seven billion, three hundred three million, four hundred two thousand, three hundred seventeen".