Search a number
-
+
361461106319 is a prime number
BaseRepresentation
bin1010100001010001100…
…00101100011010001111
31021112222211211201120012
411100220300230122033
521410233020400234
6434015233543435
735054225465255
oct5205060543217
91245884751505
10361461106319
1112a32740a145
125a078714b7b
13281161b0c41
14136cda925d5
1596083270ce
hex5428c2c68f

361461106319 has 2 divisors, whose sum is σ = 361461106320. Its totient is φ = 361461106318.

The previous prime is 361461106267. The next prime is 361461106333. The reversal of 361461106319 is 913601164163.

It is a strong prime.

It is an emirp because it is prime and its reverse (913601164163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 361461106319 - 216 = 361461040783 is a prime.

It is a super-2 number, since 2×3614611063192 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (361461106399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180730553159 + 180730553160.

It is an arithmetic number, because the mean of its divisors is an integer number (180730553160).

Almost surely, 2361461106319 is an apocalyptic number.

361461106319 is a deficient number, since it is larger than the sum of its proper divisors (1).

361461106319 is an equidigital number, since it uses as much as digits as its factorization.

361461106319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 361461106319 in words is "three hundred sixty-one billion, four hundred sixty-one million, one hundred six thousand, three hundred nineteen".