Search a number
-
+
10022330322 = 232717842199
BaseRepresentation
bin10010101010110000…
…01001111111010010
3221212110210010120100
421111120021333102
5131011204032242
64334301153230
7503235254634
oct112530117722
927773703510
1010022330322
114283387124
121b3855b816
13c39508494
146b10d6a54
153d9d1e54c
hex255609fd2

10022330322 has 24 divisors (see below), whose sum is σ = 22020897600. Its totient is φ = 3293723160.

The previous prime is 10022330303. The next prime is 10022330323. The reversal of 10022330322 is 22303322001.

It is a happy number.

10022330322 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 330 + 322 = 666.

10022330322 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022330295 and 10022330304.

It is not an unprimeable number, because it can be changed into a prime (10022330323) 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, 3919822 + ... + 3922377.

It is an arithmetic number, because the mean of its divisors is an integer number (917537400).

Almost surely, 210022330322 is an apocalyptic number.

10022330322 is an abundant number, since it is smaller than the sum of its proper divisors (11998567278).

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

10022330322 is a wasteful number, since it uses less digits than its factorization.

10022330322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842278 (or 7842275 counting only the distinct ones).

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

Adding to 10022330322 its reverse (22303322001), we get a palindrome (32325652323).

The spelling of 10022330322 in words is "ten billion, twenty-two million, three hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 7842199 15684398 23526597 47053194 70579791 141159582 556796129 1113592258 1670388387 3340776774 5011165161 10022330322