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10023222300 = 22352713379923
BaseRepresentation
bin10010101010110111…
…00011110000011100
3221212112110110010120
421111123203300130
5131011421103200
64334332234540
7503245661310
oct112533436034
927775413116
1010023222300
1142839362a3
121b3890ba50
13c3975b490
146b1289b40
153d9e489a0
hex2556e3c1c

10023222300 has 288 divisors, whose sum is σ = 36661320192. Its totient is φ = 2057425920.

The previous prime is 10023222277. The next prime is 10023222301. The reversal of 10023222300 is 322232001.

10023222300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10023222300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023222301) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1005139 + ... + 1015061.

Almost surely, 210023222300 is an apocalyptic number.

10023222300 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 10023222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18330660096).

10023222300 is an abundant number, since it is smaller than the sum of its proper divisors (26638097892).

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

10023222300 is a wasteful number, since it uses less digits than its factorization.

10023222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9997 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10023222300 its reverse (322232001), we get a palindrome (10345454301).

The spelling of 10023222300 in words is "ten billion, twenty-three million, two hundred twenty-two thousand, three hundred".