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10053331200 = 283452114143
BaseRepresentation
bin10010101110011100…
…11010100100000000
3221221122010010210000
421113032122210000
5131042123044300
64341325440000
7504062622333
oct112716324400
927848103700
1010053331200
114299930590
121b46a10000
13c42a70bb3
146b528661a
153dc8e4c00
hex25739a900

10053331200 has 1080 divisors, whose sum is σ = 42506091936. Its totient is φ = 2322432000.

The previous prime is 10053331199. The next prime is 10053331201. The reversal of 10053331200 is 213335001.

10053331200 is a `hidden beast` number, since 10 + 0 + 533 + 3 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10053331199) and next prime (10053331201).

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (10053331201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 233798379 + ... + 233798421.

Almost surely, 210053331200 is an apocalyptic number.

10053331200 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 10053331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21253045968).

10053331200 is an abundant number, since it is smaller than the sum of its proper divisors (32452760736).

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

10053331200 is a wasteful number, since it uses less digits than its factorization.

10053331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 10053331200 its reverse (213335001), we get a palindrome (10266666201).

The spelling of 10053331200 in words is "ten billion, fifty-three million, three hundred thirty-one thousand, two hundred".