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10022332023 = 3211313265667
BaseRepresentation
bin10010101010110000…
…01010011001110111
3221212110210012220100
421111120022121313
5131011204111043
64334301205143
7503235262614
oct112530123167
927773705810
1010022332023
114283388430
121b385607b3
13c395091a2
146b10d750b
153d9d1ecd3
hex25560a677

10022332023 has 24 divisors (see below), whose sum is σ = 16302214656. Its totient is φ = 5878198800.

The previous prime is 10022332013. The next prime is 10022332037. The reversal of 10022332023 is 32023322001.

It is a happy number.

10022332023 is a `hidden beast` number, since 100 + 223 + 320 + 23 = 666.

10022332023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10022332023 - 24 = 10022332007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022331987 and 10022332005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022332003) 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 23 ways as a sum of consecutive naturals, for example, 1629765 + ... + 1635902.

It is an arithmetic number, because the mean of its divisors is an integer number (679258944).

Almost surely, 210022332023 is an apocalyptic number.

10022332023 is a deficient number, since it is larger than the sum of its proper divisors (6279882633).

10022332023 is a wasteful number, since it uses less digits than its factorization.

10022332023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265715 (or 3265712 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10022332023 its reverse (32023322001), we get a palindrome (42045654024).

The spelling of 10022332023 in words is "ten billion, twenty-two million, three hundred thirty-two thousand, twenty-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 3265667 9797001 29391003 35922337 101235677 107767011 303707031 323301033 911121093 1113592447 3340777341 10022332023