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2002021111200 = 25352114110118313
BaseRepresentation
bin11101001000100001110…
…000011101010110100000
321002101120021220221022110
4131020201300131112200
5230300114401024300
64131414340235320
7264432643444365
oct35104160352640
97071507827273
102002021111200
117020637a7620
1228400899bb40
13116a361c0866
146cc8108246c
1537125660550
hex1d221c1d5a0

2002021111200 has 576 divisors, whose sum is σ = 7354889506944. Its totient is φ = 468787200000.

The previous prime is 2002021111063. The next prime is 2002021111229. The reversal of 2002021111200 is 21111202002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109313244 + ... + 109331556.

It is an arithmetic number, because the mean of its divisors is an integer number (12768905394).

Almost surely, 22002021111200 is an apocalyptic number.

2002021111200 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 2002021111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677444753472).

2002021111200 is an abundant number, since it is smaller than the sum of its proper divisors (5352868395744).

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

2002021111200 is a wasteful number, since it uses less digits than its factorization.

2002021111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18489 (or 18476 counting only the distinct ones).

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

Adding to 2002021111200 its reverse (21111202002), we get a palindrome (2023132313202).

The spelling of 2002021111200 in words is "two trillion, two billion, twenty-one million, one hundred eleven thousand, two hundred".