Search a number
-
+
10012212200 = 235250061061
BaseRepresentation
bin10010101001100011…
…00011101111101000
3221211202202002010002
421110301203233220
5131001111242300
64333300242132
7503053254014
oct112461435750
927752662102
1010012212200
1142786a6241
121b350a0348
13c373a4c23
146ada21544
153d8ec15d5
hex254c63be8

10012212200 has 24 divisors (see below), whose sum is σ = 23278393830. Its totient is φ = 4004884800.

The previous prime is 10012212187. The next prime is 10012212227. The reversal of 10012212200 is 221221001.

It is a happy number.

10012212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4537100164 + 5475112036 = 67358^2 + 73994^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25030331 + ... + 25030730.

Almost surely, 210012212200 is an apocalyptic number.

10012212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012212200 is an abundant number, since it is smaller than the sum of its proper divisors (13266181630).

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

10012212200 is a wasteful number, since it uses less digits than its factorization.

10012212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50061077 (or 50061068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10012212200 its reverse (221221001), we get a palindrome (10233433201).

The spelling of 10012212200 in words is "ten billion, twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50061061 100122122 200244244 250305305 400488488 500610610 1001221220 1251526525 2002442440 2503053050 5006106100 10012212200