Search a number
-
+
200210210211000 = 233531157110625177
BaseRepresentation
bin101101100001011100010010…
…011101011100010010111000
3222020212220112210020012110210
4231201130102131130102320
5202220221002303223000
61545451144551511120
760112465435526523
oct5541342235342270
9866786483205423
10200210210211000
115887a745216160
121a5560b63884a0
1387939849b9412
143762323b47bba
151822dd8a96350
hexb6171275c4b8

200210210211000 has 256 divisors, whose sum is σ = 682636235973120. Its totient is φ = 48450802560000.

The previous prime is 200210210210971. The next prime is 200210210211007. The reversal of 200210210211000 is 112012012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200210210211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13530412 + ... + 24155588.

It is an arithmetic number, because the mean of its divisors is an integer number (2666547796770).

Almost surely, 2200210210211000 is an apocalyptic number.

200210210211000 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 200210210211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341318117986560).

200210210211000 is an abundant number, since it is smaller than the sum of its proper divisors (482426025762120).

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

200210210211000 is a wasteful number, since it uses less digits than its factorization.

200210210211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10625783 (or 10625769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200210210211000 its reverse (112012012002), we get a palindrome (200322222223002).

The spelling of 200210210211000 in words is "two hundred trillion, two hundred ten billion, two hundred ten million, two hundred eleven thousand".