10223311322340 has 72 divisors (see below), whose sum is σ = 31435515311928. Its totient is φ = 2688870919680.

The previous prime is 10223311322339. The next prime is 10223311322347. The reversal of 10223311322340 is 4322311332201.

10223311322340 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 311 + 3 + 2 + 2 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 976408801956 + 9246902520384 = 988134^2 + 3040872^2 .

It is not an unprimeable number, because it can be changed into a prime (10223311322347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389001751 + ... + 389028030.

Almost surely, 2^{10223311322340} is an apocalyptic number.

10223311322340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223311322340 is an abundant number, since it is smaller than the sum of its proper divisors (21212203989588).

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

10223311322340 is a wasteful number, since it uses less digits than its factorization.

10223311322340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778029869 (or 778029864 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10223311322340 its reverse (4322311332201), we get a palindrome (14545622654541).

The spelling of 10223311322340 in words is "ten trillion, two hundred twenty-three billion, three hundred eleven million, three hundred twenty-two thousand, three hundred forty".