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22102102101222 = 2321113217310133769
BaseRepresentation
bin1010000011010000010111…
…11100011100110011100110
32220020221101111102111122100
411001220023330130303212
510344110101114214342
6115001322053312530
74440552460043313
oct501501374346346
986227344374570
1022102102101222
1170514a3487760
12258b651335746
13c442b09ccc00
14565a67003d0a
15284dd68cce4c
hex141a0bf1cce6

22102102101222 has 288 divisors, whose sum is σ = 56967281635680. Its totient is φ = 6138972702720.

The previous prime is 22102102101173. The next prime is 22102102101227. The reversal of 22102102101222 is 22210120120122.

It is a happy number.

22102102101222 is a `hidden beast` number, since 2 + 21 + 0 + 210 + 210 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22102102101195 and 22102102101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102102101227) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5864180154 + ... + 5864183922.

It is an arithmetic number, because the mean of its divisors is an integer number (197803061235).

Almost surely, 222102102101222 is an apocalyptic number.

22102102101222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102102101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28483640817840).

22102102101222 is an abundant number, since it is smaller than the sum of its proper divisors (34865179534458).

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

22102102101222 is a wasteful number, since it uses less digits than its factorization.

22102102101222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22102102101222 its reverse (22210120120122), we get a palindrome (44312222221344).

The spelling of 22102102101222 in words is "twenty-two trillion, one hundred two billion, one hundred two million, one hundred one thousand, two hundred twenty-two".