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1002223320000 = 2635471193123
BaseRepresentation
bin11101001010110010010…
…10100011101111000000
310112210220122222210011020
432211121022203233000
5112410023132220000
62044225351545440
7132260012442360
oct16453112435700
93483818883136
101002223320000
11357049a33141
121422a268b280
1373680aa37c6
14367178349a0
151b10ba3cba0
hexe9592a3bc0

1002223320000 has 280 divisors, whose sum is σ = 3786956486016. Its totient is φ = 229079424000.

The previous prime is 1002223319989. The next prime is 1002223320079. The reversal of 1002223320000 is 233222001.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 243439 + ... + 1436561.

Almost surely, 21002223320000 is an apocalyptic number.

1002223320000 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 1002223320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893478243008).

1002223320000 is an abundant number, since it is smaller than the sum of its proper divisors (2784733166016).

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

1002223320000 is an equidigital number, since it uses as much as digits as its factorization.

1002223320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193165 (or 1193140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1002223320000 its reverse (233222001), we get a palindrome (1002456542001).

The spelling of 1002223320000 in words is "one trillion, two billion, two hundred twenty-three million, three hundred twenty thousand".