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22100112210000 = 2435411371810001
BaseRepresentation
bin1010000011001100101010…
…10101100111100001010000
32220020202020211002120001110
411001212111111213201100
510344042012211210000
6115000352411133320
74440452245203216
oct501462525474120
986222224076043
1022100112210000
117050672214a60
12258b196a44240
13c44054684a96
14565918a1acb6
15284d1bd65850
hex141995567850

22100112210000 has 400 divisors, whose sum is σ = 79931252161728. Its totient is φ = 5212800000000.

The previous prime is 22100112209933. The next prime is 22100112210053. The reversal of 22100112210000 is 1221100122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 11305000 + ... + 13115000.

Almost surely, 222100112210000 is an apocalyptic number.

22100112210000 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 22100112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39965626080864).

22100112210000 is an abundant number, since it is smaller than the sum of its proper divisors (57831139951728).

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

22100112210000 is a wasteful number, since it uses less digits than its factorization.

22100112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810080 (or 1810059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22100112210000 its reverse (1221100122), we get a palindrome (22101333310122).

The spelling of 22100112210000 in words is "twenty-two trillion, one hundred billion, one hundred twelve million, two hundred ten thousand".