Search a number
-
+
110122132122 = 2332039298743
BaseRepresentation
bin110011010001111001…
…0100110001010011010
3101112020121012221011000
41212203302212022122
53301012231211442
6122331151245430
710645633451532
oct1464362461232
9345217187130
10110122132122
1142780088852
1219413819876
13a4cc8bc432
1454894d64c2
152ce7bbed4c
hex19a3ca629a

110122132122 has 16 divisors (see below), whose sum is σ = 244715849280. Its totient is φ = 36707377356.

The previous prime is 110122132121. The next prime is 110122132123. The reversal of 110122132122 is 221231221011.

110122132122 is a `hidden beast` number, since 1 + 101 + 221 + 321 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (110122132121) and next prime (110122132123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110122132095 and 110122132104.

It is not an unprimeable number, because it can be changed into a prime (110122132121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019649318 + ... + 1019649425.

It is an arithmetic number, because the mean of its divisors is an integer number (15294740580).

Almost surely, 2110122132122 is an apocalyptic number.

110122132122 is an abundant number, since it is smaller than the sum of its proper divisors (134593717158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110122132122 is a wasteful number, since it uses less digits than its factorization.

110122132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039298754 (or 2039298748 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110122132122 its reverse (221231221011), we get a palindrome (331353353133).

The spelling of 110122132122 in words is "one hundred ten billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 2039298743 4078597486 6117896229 12235792458 18353688687 36707377374 55061066061 110122132122