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10000122200000 = 2655298320773
BaseRepresentation
bin1001000110000101010110…
…1110110011111111000000
31022102000001201011122201022
42101201111232303333000
52302320222240400000
633133554232125012
72051325231130442
oct221412556637700
938360051148638
1010000122200000
113206034308759
121156110836768
1357701357290a
1426801945c492
151251d5a30585
hex91855bb3fc0

10000122200000 has 336 divisors, whose sum is σ = 25969083809760. Its totient is φ = 3815400960000.

The previous prime is 10000122199973. The next prime is 10000122200017. The reversal of 10000122200000 is 222100001.

10000122200000 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 (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481389614 + ... + 481410386.

It is an arithmetic number, because the mean of its divisors is an integer number (77288939910).

Almost surely, 210000122200000 is an apocalyptic number.

10000122200000 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 10000122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12984541904880).

10000122200000 is an abundant number, since it is smaller than the sum of its proper divisors (15968961609760).

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

10000122200000 is an frugal number, since it uses more digits than its factorization.

10000122200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20922 (or 20892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10000122200000 its reverse (222100001), we get a palindrome (10000344300001).

Subtracting from 10000122200000 its reverse (222100001), we obtain a palindrome (9999900099999).

The spelling of 10000122200000 in words is "ten trillion, one hundred twenty-two million, two hundred thousand".