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200211201202000 = 24533753341314957
BaseRepresentation
bin101101100001011101001101…
…100001110001011101010000
3222020220000002211221202120011
4231201131031201301131100
5202220230020001431000
61545451431152124304
760112532131026232
oct5541351541613520
9866800084852504
10200211201202000
115888010364638a
121a556332236694
138793ab20c0b21
1437623b95cc252
151822e45a982ba
hexb6174d871750

200211201202000 has 320 divisors, whose sum is σ = 506758094316864. Its totient is φ = 76422336307200.

The previous prime is 200211201201901. The next prime is 200211201202027. The reversal of 200211201202000 is 202102112002.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 123997044076816 + 76214157125184 = 11135396^2 + 8730072^2 .

It is a congruent number.

It is an unprimeable number.

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, 13385778522 + ... + 13385793478.

Almost surely, 2200211201202000 is an apocalyptic number.

200211201202000 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 200211201202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253379047158432).

200211201202000 is an abundant number, since it is smaller than the sum of its proper divisors (306546893114864).

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

200211201202000 is a wasteful number, since it uses less digits than its factorization.

200211201202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18483 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200211201202000 its reverse (202102112002), we get a palindrome (200413303314002).

The spelling of 200211201202000 in words is "two hundred trillion, two hundred eleven billion, two hundred one million, two hundred two thousand".