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1003103220000 = 2535477332717
BaseRepresentation
bin11101001100011011001…
…11000111000100100000
310112220011222200100001010
432212031213013010200
5112413323411020000
62044452543140520
7132320555454450
oct16461547070440
93486158610033
101003103220000
11357460687022
121424a92a4740
13737911803ab
143679c63bd60
151b15dde8d50
hexe98d9c7120

1003103220000 has 480 divisors, whose sum is σ = 3812062649472. Its totient is φ = 226132992000.

The previous prime is 1003103219981. The next prime is 1003103220011. The reversal of 1003103220000 is 223013001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30643642 + ... + 30676358.

Almost surely, 21003103220000 is an apocalyptic number.

1003103220000 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 1003103220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906031324736).

1003103220000 is an abundant number, since it is smaller than the sum of its proper divisors (2808959429472).

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

1003103220000 is an equidigital number, since it uses as much as digits as its factorization.

1003103220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32830 (or 32807 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1003103220000 its reverse (223013001), we get a palindrome (1003326233001).

The spelling of 1003103220000 in words is "one trillion, three billion, one hundred three million, two hundred twenty thousand".