Search a number
10000222021020 = 223571189181134369

10000222021020 has 384 divisors, whose sum is σ = 35497415116800. Its totient is φ = 2043253555200.

The previous prime is 10000222021001. The next prime is 10000222021021. The reversal of 10000222021020 is 2012022200001.

Adding to 10000222021020 its reverse (2012022200001), we get a palindrome (12012244221021).

10000222021020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10000222020987 and 10000222021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000222021021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74356396 + ... + 74490764.

It is an arithmetic number, because the mean of its divisors is an integer number (92441185200).

Almost surely, 210000222021020 is an apocalyptic number.

10000222021020 is a gapful number since it is divisible by the number (10) 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 10000222021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17748707558400).

10000222021020 is an abundant number, since it is smaller than the sum of its proper divisors (25497193095780).

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

10000222021020 is a wasteful number, since it uses less digits than its factorization.

10000222021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134669 (or 134667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 10000222021020 in words is "ten trillion, two hundred twenty-two million, twenty-one thousand, twenty".