Search a number
-
+
12002221000100 = 2252120022210001
BaseRepresentation
bin1010111010100111110000…
…0111101000010110100100
31120111101211102021121011102
42232221330013220112210
53033121022034000400
641305424425455232
72346063140134322
oct256517407502644
946441742247142
1012002221000100
113908127948081
12141a13b641518
13690a5c894926
142d6ca6964d12
1515c312dd99d5
hexaea7c1e85a4

12002221000100 has 18 divisors (see below), whose sum is σ = 26044819570434. Its totient is φ = 4800888400000.

The previous prime is 12002221000087. The next prime is 12002221000117. The reversal of 12002221000100 is 100012220021.

It is a happy number.

12002221000100 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 2373127926016 + 9629093074084 = 1540496^2 + 3103078^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60011104901 + ... + 60011105100.

Almost surely, 212002221000100 is an apocalyptic number.

12002221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002221000100 is an abundant number, since it is smaller than the sum of its proper divisors (14042598570334).

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

12002221000100 is a wasteful number, since it uses less digits than its factorization.

12002221000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120022210015 (or 120022210008 counting only the distinct ones).

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

Adding to 12002221000100 its reverse (100012220021), we get a palindrome (12102233220121).

The spelling of 12002221000100 in words is "twelve trillion, two billion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 120022210001 240044420002 480088840004 600111050005 1200222100010 2400444200020 3000555250025 6001110500050 12002221000100