Search a number
-
+
135515772281 is a prime number
BaseRepresentation
bin111111000110101011…
…1101001010101111001
3110221210022211111202002
41332031113221111321
54210014014203111
6142131033150345
712535131026051
oct1761527512571
9427708744662
10135515772281
115252113651a
122231bb5b3b5
13ca1884b506
1467b7c6a561
1537d21eb63b
hex1f8d5e9579

135515772281 has 2 divisors, whose sum is σ = 135515772282. Its totient is φ = 135515772280.

The previous prime is 135515772191. The next prime is 135515772313. The reversal of 135515772281 is 182277515531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114406297600 + 21109474681 = 338240^2 + 145291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135515772281 is a prime.

It is a super-2 number, since 2×1355157722812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (135515774281) 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, 67757886140 + 67757886141.

It is an arithmetic number, because the mean of its divisors is an integer number (67757886141).

Almost surely, 2135515772281 is an apocalyptic number.

It is an amenable number.

135515772281 is a deficient number, since it is larger than the sum of its proper divisors (1).

135515772281 is an equidigital number, since it uses as much as digits as its factorization.

135515772281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 588000, while the sum is 47.

The spelling of 135515772281 in words is "one hundred thirty-five billion, five hundred fifteen million, seven hundred seventy-two thousand, two hundred eighty-one".