Search a number
-
+
103220012100 = 22352344066707
BaseRepresentation
bin110000000100001100…
…1000110010001000100
3100212102120122220110010
41200020121012101010
53142343310341400
6115230231030220
710312613424612
oct1401031062104
9325376586403
10103220012100
113a859007927
121800820b370
13996c96704a
144dd29786b2
152a41c8c450
hex1808646444

103220012100 has 36 divisors (see below), whose sum is σ = 298649902544. Its totient is φ = 27525336480.

The previous prime is 103220012087. The next prime is 103220012107. The reversal of 103220012100 is 1210022301.

103220012100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103220012107) 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, 172033054 + ... + 172033653.

Almost surely, 2103220012100 is an apocalyptic number.

103220012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103220012100 is an abundant number, since it is smaller than the sum of its proper divisors (195429890444).

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

103220012100 is a wasteful number, since it uses less digits than its factorization.

103220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344066724 (or 344066717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 103220012100 its reverse (1210022301), we get a palindrome (104430034401).

The spelling of 103220012100 in words is "one hundred three billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 344066707 688133414 1032200121 1376266828 1720333535 2064400242 3440667070 4128800484 5161000605 6881334140 8601667675 10322001210 17203335350 20644002420 25805003025 34406670700 51610006050 103220012100