Search a number
-
+
200211002020000 = 2554311079773089
BaseRepresentation
bin101101100001011101000001…
…101001111101000010100000
3222020212222120222011021020001
4231201131001221331002200
5202220224113004120000
61545451355315025344
760112524162016546
oct5541350151750240
9866788528137201
10200211002020000
1158880011171a64
121a55629759b254
138793a7ca61c5a
14376239ad7dd96
151822e3335146a
hexb61741a7d0a0

200211002020000 has 480 divisors, whose sum is σ = 513881107407360. Its totient is φ = 76673310720000.

The previous prime is 200211002019949. The next prime is 200211002020021. The reversal of 200211002020000 is 20200112002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64814178456 + ... + 64814181544.

It is an arithmetic number, because the mean of its divisors is an integer number (1070585640432).

Almost surely, 2200211002020000 is an apocalyptic number.

200211002020000 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 200211002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256940553703680).

200211002020000 is an abundant number, since it is smaller than the sum of its proper divisors (313670105387360).

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

200211002020000 is a wasteful number, since it uses less digits than its factorization.

200211002020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200211002020000 its reverse (20200112002), we get a palindrome (200231202132002).

The spelling of 200211002020000 in words is "two hundred trillion, two hundred eleven billion, two million, twenty thousand".