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23330013300 = 223252113763691
BaseRepresentation
bin10101101110100100…
…111100000001110100
32020012220112110201200
4111232210330001310
5340234440411200
614415003052500
71454065561326
oct255644740164
966186473650
1023330013300
119992203330
124631211130
13227a567cc9
1411b4675616
1591829b800
hex56e93c074

23330013300 has 216 divisors, whose sum is σ = 81931860192. Its totient is φ = 5502816000.

The previous prime is 23330013253. The next prime is 23330013313. The reversal of 23330013300 is 331003332.

23330013300 is a `hidden beast` number, since 2 + 3 + 330 + 0 + 1 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334455 + ... + 398145.

Almost surely, 223330013300 is an apocalyptic number.

23330013300 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 23330013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40965930096).

23330013300 is an abundant number, since it is smaller than the sum of its proper divisors (58601846892).

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

23330013300 is a wasteful number, since it uses less digits than its factorization.

23330013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63759 (or 63749 counting only the distinct ones).

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

Adding to 23330013300 its reverse (331003332), we get a palindrome (23661016632).

The spelling of 23330013300 in words is "twenty-three billion, three hundred thirty million, thirteen thousand, three hundred".