Search a number
-
+
110110000121 = 1121019009901
BaseRepresentation
bin110011010001100010…
…0010100001111111001
3101112012202101120011122
41212203010110033321
53301001130000441
6122330035235025
710645425362342
oct1464304241771
9345182346148
10110110000121
1142774251900
121940b748a75
13a4ca232334
145487a590c9
152ce6ac534b
hex19a31143f9

110110000121 has 12 divisors (see below), whose sum is σ = 122228330532. Its totient is φ = 99108900000.

The previous prime is 110110000067. The next prime is 110110000123. The reversal of 110110000121 is 121000011011.

Adding to 110110000121 its reverse (121000011011), we get a palindrome (231110011132).

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98807120896 + 11302879225 = 314336^2 + 106315^2 .

It is a de Polignac number, because none of the positive numbers 2k-110110000121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110110000099 and 110110000108.

It is not an unprimeable number, because it can be changed into a prime (110110000123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4492730 + ... + 4517171.

It is an arithmetic number, because the mean of its divisors is an integer number (10185694211).

Almost surely, 2110110000121 is an apocalyptic number.

110110000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110110000121 is a deficient number, since it is larger than the sum of its proper divisors (12118330411).

110110000121 is a wasteful number, since it uses less digits than its factorization.

110110000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010024 (or 9010013 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The spelling of 110110000121 in words is "one hundred ten billion, one hundred ten million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 101 121 1111 12221 9009901 99108911 910000001 1090198021 10010000011 110110000121