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1003322020320 = 2532537431313343
BaseRepresentation
bin11101001100110101010…
…01110001000111100000
310112220202020101112122200
432212122221301013200
5112414300414122240
62044530400533200
7132326153313324
oct16463251610740
93486666345580
101003322020320
1135756313aa34
1214254a621200
13737c75baa39
14367bd715984
151b173218930
hexe99aa711e0

1003322020320 has 576 divisors, whose sum is σ = 3626699940864. Its totient is φ = 252250951680.

The previous prime is 1003322020301. The next prime is 1003322020333. The reversal of 1003322020320 is 230202233001.

It is a happy number.

1003322020320 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 322 + 0 + 20 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1003322020293 and 1003322020302.

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 95 ways as a sum of consecutive naturals, for example, 300124569 + ... + 300127911.

It is an arithmetic number, because the mean of its divisors is an integer number (6296354064).

Almost surely, 21003322020320 is an apocalyptic number.

1003322020320 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 1003322020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813349970432).

1003322020320 is an abundant number, since it is smaller than the sum of its proper divisors (2623377920544).

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

1003322020320 is a wasteful number, since it uses less digits than its factorization.

1003322020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3564 counting only the distinct ones).

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

Adding to 1003322020320 its reverse (230202233001), we get a palindrome (1233524253321).

The spelling of 1003322020320 in words is "one trillion, three billion, three hundred twenty-two million, twenty thousand, three hundred twenty".