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20033313300 = 2232527111337601
BaseRepresentation
bin10010101010000101…
…000001101000010100
31220201011012202111200
4102222011001220110
5312012012011200
613111515232500
71306305232140
oct225205015024
956634182450
1020033313300
118550312880
123a71148730
131b7356ca50
14d808b8220
157c3b4b800
hex4aa141a14

20033313300 has 864 divisors, whose sum is σ = 86732615424. Its totient is φ = 3732480000.

The previous prime is 20033313253. The next prime is 20033313317. The reversal of 20033313300 is 331333002.

20033313300 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 331 + 330 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33333000 + ... + 33333600.

Almost surely, 220033313300 is an apocalyptic number.

20033313300 is a gapful number since it is divisible by the number (20) 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 20033313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43366307712).

20033313300 is an abundant number, since it is smaller than the sum of its proper divisors (66699302124).

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

20033313300 is a wasteful number, since it uses less digits than its factorization.

20033313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 20033313300 its reverse (331333002), we get a palindrome (20364646302).

It can be divided in two parts, 20033 and 313300, that added together give a palindrome (333333).

The spelling of 20033313300 in words is "twenty billion, thirty-three million, three hundred thirteen thousand, three hundred".