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22100221000000 = 26561113179091
BaseRepresentation
bin1010000011001100110111…
…10100100111100101000000
32220020202112101210122212201
411001212123310213211000
510344042223034000000
6115000411255002544
74440455035665223
oct501463364474500
986222471718781
1022100221000000
11705071866a550
12258b207369454
13c44071085470
145659292595ba
15284d266a496a
hex14199bd27940

22100221000000 has 784 divisors, whose sum is σ = 68197650808896. Its totient is φ = 6981120000000.

The previous prime is 22100220999971. The next prime is 22100221000057. The reversal of 22100221000000 is 12200122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2430995455 + ... + 2431004545.

Almost surely, 222100221000000 is an apocalyptic number.

22100221000000 is a gapful number since it is divisible by the number (20) 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 22100221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34098825404448).

22100221000000 is an abundant number, since it is smaller than the sum of its proper divisors (46097429808896).

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

22100221000000 is an equidigital number, since it uses as much as digits as its factorization.

22100221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22100221000000 its reverse (12200122), we get a palindrome (22100233200122).

It can be divided in two parts, 22100 and 221000000, that multiplied together give a square (4884100000000 = 22100002).

The spelling of 22100221000000 in words is "twenty-two trillion, one hundred billion, two hundred twenty-one million", and thus it is an aban number.