Search a number
-
+
111110131337 is a prime number
BaseRepresentation
bin110011101111010101…
…1100000111010001001
3101121210110022111021112
41213132223200322021
53310023143200322
6123013203420105
711012261350652
oct1473653407211
9347713274245
10111110131337
1143137855227
121964a684635
13a6294b715a
1455407dc529
152d547d05e2
hex19deae0e89

111110131337 has 2 divisors, whose sum is σ = 111110131338. Its totient is φ = 111110131336.

The previous prime is 111110131291. The next prime is 111110131381. The reversal of 111110131337 is 733131011111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108516877561 + 2593253776 = 329419^2 + 50924^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110131337 - 212 = 111110127241 is a prime.

It is a super-2 number, since 2×1111101313372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111110131837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555065668 + 55555065669.

It is an arithmetic number, because the mean of its divisors is an integer number (55555065669).

Almost surely, 2111110131337 is an apocalyptic number.

It is an amenable number.

111110131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110131337 is an equidigital number, since it uses as much as digits as its factorization.

111110131337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 23.

Adding to 111110131337 its reverse (733131011111), we get a palindrome (844241142448).

The spelling of 111110131337 in words is "one hundred eleven billion, one hundred ten million, one hundred thirty-one thousand, three hundred thirty-seven".