Search a number
-
+
100011212200 = 2352500056061
BaseRepresentation
bin101110100100100100…
…0011111110110101000
3100120010221201222111101
41131021020133312220
53114310332242300
6113540003211144
710140241164064
oct1351110376650
9316127658441
10100011212200
11394617a3a89
1217471676ab4
13957ac36c93
144baa73caa4
152905201b6a
hex174921fda8

100011212200 has 24 divisors (see below), whose sum is σ = 232526068830. Its totient is φ = 40004484800.

The previous prime is 100011212183. The next prime is 100011212201. The reversal of 100011212200 is 2212110001.

It can be written as a sum of positive squares in 3 ways, for example, as 73950275844 + 26060936356 = 271938^2 + 161434^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100011212201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250027831 + ... + 250028230.

Almost surely, 2100011212200 is an apocalyptic number.

100011212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011212200 is an abundant number, since it is smaller than the sum of its proper divisors (132514856630).

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

100011212200 is a wasteful number, since it uses less digits than its factorization.

100011212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500056077 (or 500056068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100011212200 its reverse (2212110001), we get a palindrome (102223322201).

The spelling of 100011212200 in words is "one hundred billion, eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 500056061 1000112122 2000224244 2500280305 4000448488 5000560610 10001121220 12501401525 20002242440 25002803050 50005606100 100011212200