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20221110010200 = 233521185313212719
BaseRepresentation
bin1001001100100000110000…
…00101000100000101011000
32122121010012220221211010210
410212100120011010011120
510122300313130311300
6111001241045011120
74154632646060061
oct446203005040530
978533186854123
1020221110010200
1164967a748a360
122326ba09b3aa0
13b38ac4c548b8
144dc9c7c0b568
15250ee6738050
hex126418144158

20221110010200 has 384 divisors, whose sum is σ = 68541313075200. Its totient is φ = 4890834432000.

The previous prime is 20221110010181. The next prime is 20221110010237. The reversal of 20221110010200 is 201001112202.

It is a super-2 number, since 2×202211100102002 (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7436964441 + ... + 7436967159.

It is an arithmetic number, because the mean of its divisors is an integer number (178493002800).

Almost surely, 220221110010200 is an apocalyptic number.

20221110010200 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 20221110010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34270656537600).

20221110010200 is an abundant number, since it is smaller than the sum of its proper divisors (48320203065000).

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

20221110010200 is a wasteful number, since it uses less digits than its factorization.

20221110010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4923 (or 4914 counting only the distinct ones).

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

Adding to 20221110010200 its reverse (201001112202), we get a palindrome (20422111122402).

The spelling of 20221110010200 in words is "twenty trillion, two hundred twenty-one billion, one hundred ten million, ten thousand, two hundred".