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2001012202200 = 2335211405774731
BaseRepresentation
bin11101000111100101100…
…111110001101011011000
321002021221222111001100110
4131013211213301223120
5230241033110432300
64131130300004320
7264365643036624
oct35074547615330
97067858431313
102001012202200
11701696249330
12283986b306a0
1311690518459b
146cbc7096184
15370b6cbe550
hex1d1e59f1ad8

2001012202200 has 192 divisors, whose sum is σ = 6768818017920. Its totient is φ = 484967808000.

The previous prime is 2001012202187. The next prime is 2001012202201. The reversal of 2001012202200 is 22022101002.

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 (2001012202201) 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 47 ways as a sum of consecutive naturals, for example, 26738835 + ... + 26813565.

It is an arithmetic number, because the mean of its divisors is an integer number (35254260510).

Almost surely, 22001012202200 is an apocalyptic number.

2001012202200 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 2001012202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384409008960).

2001012202200 is an abundant number, since it is smaller than the sum of its proper divisors (4767805815720).

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

2001012202200 is a wasteful number, since it uses less digits than its factorization.

2001012202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78818 (or 78809 counting only the distinct ones).

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

Adding to 2001012202200 its reverse (22022101002), we get a palindrome (2023034303202).

The spelling of 2001012202200 in words is "two trillion, one billion, twelve million, two hundred two thousand, two hundred".