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1030330111200 = 25352131731223281
BaseRepresentation
bin11101111111001000111…
…01011101010011100000
310122111110110212201021220
432333210131131103200
5113340104002024300
62105154354015040
7134303353305135
oct16774435352340
93574413781256
101030330111200
11367a6253a3a5
12147827577480
137620cb721c0
1437c2266258c
151bc0434ada0
hexefe475d4e0

1030330111200 has 1152 divisors, whose sum is σ = 3979329306624. Its totient is φ = 229146624000.

The previous prime is 1030330111199. The next prime is 1030330111301. The reversal of 1030330111200 is 21110330301.

It is a super-3 number, since 3×10303301112003 (a number of 37 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1030330111200.

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 191 ways as a sum of consecutive naturals, for example, 3666655060 + ... + 3666655340.

It is an arithmetic number, because the mean of its divisors is an integer number (3454278912).

Almost surely, 21030330111200 is an apocalyptic number.

1030330111200 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 1030330111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989664653312).

1030330111200 is an abundant number, since it is smaller than the sum of its proper divisors (2948999195424).

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

1030330111200 is a wasteful number, since it uses less digits than its factorization.

1030330111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1030330111200 its reverse (21110330301), we get a palindrome (1051440441501).

The spelling of 1030330111200 in words is "one trillion, thirty billion, three hundred thirty million, one hundred eleven thousand, two hundred".