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21222201102000 = 2435329251485923
BaseRepresentation
bin1001101001101001011011…
…10000100000111010110000
32210010211012200110110012020
410310310231300200322300
510240201031440231000
6113045202233231440
74320152633000553
oct464645560407260
983124180413166
1021222201102000
116842315295708
122469008262580
13bac3252a2492
1453523511469a
1526c088b75ba0
hex134d2dc20eb0

21222201102000 has 320 divisors, whose sum is σ = 71061836751360. Its totient is φ = 5442326400000.

The previous prime is 21222201101989. The next prime is 21222201102007. The reversal of 21222201102000 is 20110222212.

It is a super-2 number, since 2×212222011020002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21222201102007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43431039 + ... + 43916961.

It is an arithmetic number, because the mean of its divisors is an integer number (222068239848).

Almost surely, 221222201102000 is an apocalyptic number.

21222201102000 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 21222201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35530918375680).

21222201102000 is an abundant number, since it is smaller than the sum of its proper divisors (49839635649360).

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

21222201102000 is a wasteful number, since it uses less digits than its factorization.

21222201102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486229 (or 486213 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21222201102000 its reverse (20110222212), we get a palindrome (21242311324212).

The spelling of 21222201102000 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred one million, one hundred two thousand".