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21222122200020 = 223257731371684127
BaseRepresentation
bin1001101001101001010010…
…00011100001101111010100
32210010211000011222211000200
410310310221003201233110
510240200401240400040
6113045150334140500
74320150654226620
oct464645103415724
983124004884020
1021222122200020
1168422847a4465
122468ba5951730
13bac311b37b11
14535228856180
1526c081c8c630
hex134d290e1bd4

21222122200020 has 288 divisors, whose sum is σ = 75122240514048. Its totient is φ = 4749396996096.

The previous prime is 21222122200009. The next prime is 21222122200031. The reversal of 21222122200020 is 2000222122212.

21222122200020 is a `hidden beast` number, since 212 + 2 + 212 + 220 + 0 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (21222122200009) and next prime (21222122200031).

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 = 21222122199966 and 21222122200002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11759197 + ... + 13443323.

It is an arithmetic number, because the mean of its divisors is an integer number (260841112896).

Almost surely, 221222122200020 is an apocalyptic number.

21222122200020 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 21222122200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37561120257024).

21222122200020 is an abundant number, since it is smaller than the sum of its proper divisors (53900118314028).

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

21222122200020 is a wasteful number, since it uses less digits than its factorization.

21222122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684359 (or 1684354 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222122200020 its reverse (2000222122212), we get a palindrome (23222344322232).

The spelling of 21222122200020 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, twenty".