Search a number
-
+
201222100000200 = 233524759120941279
BaseRepresentation
bin101101110000001010101011…
…110010101001110111001000
3222101110122102010101111111210
4231300022223302221313020
5202333310330100001300
61551544053453453120
760245550136032156
oct5560125362516710
9871418363344453
10201222100000200
115912a8a4667714
121a69a2361a11a0
13883821633c486
1437992b72c03d6
15183e3ae05d050
hexb702abca9dc8

201222100000200 has 192 divisors, whose sum is σ = 647858248704000. Its totient is φ = 51627412752640.

The previous prime is 201222100000199. The next prime is 201222100000219. The reversal of 201222100000200 is 2000001222102.

201222100000200 is digitally balanced in base 2, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58806840 + ... + 62134439.

It is an arithmetic number, because the mean of its divisors is an integer number (3374261712000).

Almost surely, 2201222100000200 is an apocalyptic number.

201222100000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222100000200 is an abundant number, since it is smaller than the sum of its proper divisors (446636148703800).

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

201222100000200 is a wasteful number, since it uses less digits than its factorization.

201222100000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120941404 (or 120941395 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201222100000200 its reverse (2000001222102), we get a palindrome (203222101222302).

The spelling of 201222100000200 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred million, two hundred", and thus it is an aban number.