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10023324320 = 25562645777
BaseRepresentation
bin10010101010110111…
…11100101010100000
3221212112122122002002
421111123330222200
5131011432334240
64334334343132
7503246564612
oct112533745240
927775578062
1010023324320
1142839a5a09
121b3895aaa8
13c39795a49
146b12b4db2
153d9e68d15
hex2556fcaa0

10023324320 has 24 divisors (see below), whose sum is σ = 23680104084. Its totient is φ = 4009329664.

The previous prime is 10023324299. The next prime is 10023324329. The reversal of 10023324320 is 2342332001.

10023324320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8479463056 + 1543861264 = 92084^2 + 39292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10023324292 and 10023324301.

It is not an unprimeable number, because it can be changed into a prime (10023324329) 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 3 ways as a sum of consecutive naturals, for example, 31322729 + ... + 31323048.

Almost surely, 210023324320 is an apocalyptic number.

10023324320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023324320 is an abundant number, since it is smaller than the sum of its proper divisors (13656779764).

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

10023324320 is an equidigital number, since it uses as much as digits as its factorization.

10023324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62645792 (or 62645784 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10023324320 its reverse (2342332001), we get a palindrome (12365656321).

The spelling of 10023324320 in words is "ten billion, twenty-three million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 62645777 125291554 250583108 313228885 501166216 626457770 1002332432 1252915540 2004664864 2505831080 5011662160 10023324320