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10133033220000 = 25325497580357
BaseRepresentation
bin1001001101110100011111…
…0110000111011110100000
31022212201010111201001001200
42103131013312013132200
52312004423001020000
633315015020401200
72064042003143535
oct223350766073640
938781114631050
1010133033220000
1132574390a3239
121177a243a6200
13586705576092
142706273aad8c
151288b420d500
hex93747d877a0

10133033220000 has 360 divisors, whose sum is σ = 36379521854676. Its totient is φ = 2674280448000.

The previous prime is 10133033219993. The next prime is 10133033220019. The reversal of 10133033220000 is 2233033101.

10133033220000 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 332 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 598203246096 + 9534829973904 = 773436^2 + 3087852^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 17169822 + ... + 17750178.

Almost surely, 210133033220000 is an apocalyptic number.

10133033220000 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 10133033220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18189760927338).

10133033220000 is an abundant number, since it is smaller than the sum of its proper divisors (26246488634676).

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

10133033220000 is an equidigital number, since it uses as much as digits as its factorization.

10133033220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580490 (or 580464 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10133033220000 its reverse (2233033101), we get a palindrome (10135266253101).

The spelling of 10133033220000 in words is "ten trillion, one hundred thirty-three billion, thirty-three million, two hundred twenty thousand".