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133222003200000 = 212325511138087
BaseRepresentation
bin11110010010101000101010…
…001011010101000000000000
3122110200220021110110121202200
4132102220222023111000000
5114430202130304400000
61151201202100313200
740026654301056651
oct3622505213250000
9573626243417680
10133222003200000
11394a3152796a10
1212b373973a2800
135944a1cb06910
1424c7d9d50b528
151060623cc3500
hex792a2a2d5000

133222003200000 has 1872 divisors, whose sum is σ = 565148971400832. Its totient is φ = 29808230400000.

The previous prime is 133222003199867. The next prime is 133222003200211. The reversal of 133222003200000 is 2300222331.

It is a happy number.

133222003200000 is a `hidden beast` number, since 1 + 3 + 322 + 20 + 0 + 320 + 0 + 0 + 0 + 0 = 666.

133222003200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 16473595957 + ... + 16473604043.

It is an arithmetic number, because the mean of its divisors is an integer number (301895818056).

Almost surely, 2133222003200000 is an apocalyptic number.

133222003200000 is a gapful number since it is divisible by the number (10) 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 133222003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282574485700416).

133222003200000 is an abundant number, since it is smaller than the sum of its proper divisors (431926968200832).

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

133222003200000 is an equidigital number, since it uses as much as digits as its factorization.

133222003200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 133222003200000 its reverse (2300222331), we get a palindrome (133224303422331).

The spelling of 133222003200000 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, three million, two hundred thousand".