10022005343532 has 192 divisors, whose sum is σ = 29821214223360. Its totient is φ = 2549340158976.

The previous prime is 10022005343501. The next prime is 10022005343551. The reversal of 10022005343532 is 23534350022001.

It is a super-2 number, since 2×10022005343532² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10022005343532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1947198 + ... + 4882170.

It is an arithmetic number, because the mean of its divisors is an integer number (155318824080).

Almost surely, 2^{10022005343532} is an apocalyptic number.

10022005343532 is a gapful number since it is divisible by the number (12) 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 10022005343532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14910607111680).

10022005343532 is an abundant number, since it is smaller than the sum of its proper divisors (19799208879828).

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

10022005343532 is a wasteful number, since it uses less digits than its factorization.

10022005343532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935112 (or 2935110 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 10022005343532 its reverse (23534350022001), we get a palindrome (33556355365533).

The spelling of 10022005343532 in words is "ten trillion, twenty-two billion, five million, three hundred forty-three thousand, five hundred thirty-two".