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10023330000 = 243542291459
BaseRepresentation
bin10010101010110111…
…11110000011010000
3221212112122220212110
421111123332003100
5131011433030000
64334334425320
7503246620305
oct112533760320
927775586773
1010023330000
1142839aa202
121b38962240
13c397984c8
146b12b70ac
153d9e6a850
hex2556fe0d0

10023330000 has 200 divisors, whose sum is σ = 32520215200. Its totient is φ = 2659392000.

The previous prime is 10023329993. The next prime is 10023330013. The reversal of 10023330000 is 3332001.

It is a happy number.

10023330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 6869271 + ... + 6870729.

It is an arithmetic number, because the mean of its divisors is an integer number (162601076).

Almost surely, 210023330000 is an apocalyptic number.

10023330000 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 10023330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16260107600).

10023330000 is an abundant number, since it is smaller than the sum of its proper divisors (22496885200).

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

10023330000 is a wasteful number, since it uses less digits than its factorization.

10023330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10023330000 its reverse (3332001), we get a palindrome (10026662001).

The spelling of 10023330000 in words is "ten billion, twenty-three million, three hundred thirty thousand".