Search a number
-
+
200011101220000 = 255471762781049
BaseRepresentation
bin101101011110100010110110…
…101000111010110010100000
3222020011212121112112110112201
4231132202312220322302200
5202203440213403020000
61545215455331102544
760062216354163430
oct5536426650726240
9866155545473481
10200011101220000
11588032603a6234
121a5235a9141a54
13877ac73166405
1437568361222c0
15181cb3397496a
hexb5e8b6a3aca0

200011101220000 has 240 divisors, whose sum is σ = 562390053825600. Its totient is φ = 68570498304000.

The previous prime is 200011101219967. The next prime is 200011101220001. The reversal of 200011101220000 is 22101110002.

200011101220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2000111012200002 (a number of 29 digits) contains 22 as substring.

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 (200011101220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2467739476 + ... + 2467820524.

It is an arithmetic number, because the mean of its divisors is an integer number (2343291890940).

Almost surely, 2200011101220000 is an apocalyptic number.

200011101220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200011101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281195026912800).

200011101220000 is an abundant number, since it is smaller than the sum of its proper divisors (362378952605600).

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

200011101220000 is an equidigital number, since it uses as much as digits as its factorization.

200011101220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98713 (or 98690 counting only the distinct ones).

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

Adding to 200011101220000 its reverse (22101110002), we get a palindrome (200033202330002).

The spelling of 200011101220000 in words is "two hundred trillion, eleven billion, one hundred one million, two hundred twenty thousand".