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10023122322 = 232829671701
BaseRepresentation
bin10010101010110110…
…01011010110010010
3221212112021100222200
421111123023112102
5131011404403242
64334330144030
7503245063653
oct112533132622
927775240880
1010023122322
114283878174
121b38882016
13c39724b15
146b126152a
153d9e2904c
hex2556cb592

10023122322 has 24 divisors (see below), whose sum is σ = 21742993740. Its totient is φ = 3337005600.

The previous prime is 10023122267. The next prime is 10023122323. The reversal of 10023122322 is 22322132001.

10023122322 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 8875335681 + 1147786641 = 94209^2 + 33879^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10023122295 and 10023122304.

It is not an unprimeable number, because it can be changed into a prime (10023122323) 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 11 ways as a sum of consecutive naturals, for example, 320929 + ... + 350772.

Almost surely, 210023122322 is an apocalyptic number.

10023122322 is an abundant number, since it is smaller than the sum of its proper divisors (11719871418).

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

10023122322 is a wasteful number, since it uses less digits than its factorization.

10023122322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672538 (or 672535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10023122322 its reverse (22322132001), we get a palindrome (32345254323).

The spelling of 10023122322 in words is "ten billion, twenty-three million, one hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 829 1658 2487 4974 7461 14922 671701 1343402 2015103 4030206 6045309 12090618 556840129 1113680258 1670520387 3341040774 5011561161 10023122322