Search a number
-
+
1100110212 = 2232129723561
BaseRepresentation
bin100000110010010…
…0101100110000100
32211200001101111200
41001210211212010
54223112011322
6301055102500
736155532255
oct10144454604
92750041450
101100110212
11514a900a3
12268511a30
13146bbbbb6
14a616ab2c
15668a88ac
hex41925984

1100110212 has 36 divisors (see below), whose sum is σ = 2783096316. Its totient is φ = 366405120.

The previous prime is 1100110211. The next prime is 1100110243. The reversal of 1100110212 is 2120110011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 773729856 + 326380356 = 27816^2 + 18066^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100110194 and 1100110203.

It is not an unprimeable number, because it can be changed into a prime (1100110211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34912 + ... + 58472.

It is an arithmetic number, because the mean of its divisors is an integer number (77308231).

Almost surely, 21100110212 is an apocalyptic number.

1100110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100110212 is an abundant number, since it is smaller than the sum of its proper divisors (1682986104).

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

1100110212 is a wasteful number, since it uses less digits than its factorization.

1100110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24868 (or 24863 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1100110212 is about 33167.9093703537. The cubic root of 1100110212 is about 1032.3145899584.

Adding to 1100110212 its reverse (2120110011), we get a palindrome (3220220223).

The spelling of 1100110212 in words is "one billion, one hundred million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1297 2594 3891 5188 7782 11673 15564 23346 23561 46692 47122 70683 94244 141366 212049 282732 424098 848196 30558617 61117234 91675851 122234468 183351702 275027553 366703404 550055106 1100110212