Search a number
-
+
110110000031 is a prime number
BaseRepresentation
bin110011010001100010…
…0010100001110011111
3101112012202101120001022
41212203010110032133
53301001130000111
6122330035234355
710645425362153
oct1464304241637
9345182346038
10110110000031
1142774251829
121940b7489bb
13a4ca232295
145487a59063
152ce6ac52db
hex19a311439f

110110000031 has 2 divisors, whose sum is σ = 110110000032. Its totient is φ = 110110000030.

The previous prime is 110110000001. The next prime is 110110000043. The reversal of 110110000031 is 130000011011.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110110000031 is a prime.

It is a super-2 number, since 2×1101100000312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110109999973 and 110110000018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055000015 + 55055000016.

It is an arithmetic number, because the mean of its divisors is an integer number (55055000016).

Almost surely, 2110110000031 is an apocalyptic number.

110110000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110000031 is an equidigital number, since it uses as much as digits as its factorization.

110110000031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 110110000031 its reverse (130000011011), we get a palindrome (240110011042).

The spelling of 110110000031 in words is "one hundred ten billion, one hundred ten million, thirty-one", and thus it is an aban number.