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221111220022000 = 245372111032418263
BaseRepresentation
bin110010010001100101110111…
…101110011010101011110000
31001222220000201002121111122021
4302101211313232122223300
5212440141234311201000
62102133031525121224
764400521104564400
oct6221456756325360
91058800632544567
10221111220022000
11644a8818387a30
1220970a04259214
13964b910a1cc49
143c85ba9530800
151a8692492711a
hexc91977b9aaf0

221111220022000 has 960 divisors, whose sum is σ = 687988862466048. Its totient is φ = 67957263360000.

The previous prime is 221111220021959. The next prime is 221111220022067. The reversal of 221111220022000 is 220022111122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26759189869 + ... + 26759198131.

Almost surely, 2221111220022000 is an apocalyptic number.

221111220022000 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 221111220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343994431233024).

221111220022000 is an abundant number, since it is smaller than the sum of its proper divisors (466877642444048).

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

221111220022000 is a wasteful number, since it uses less digits than its factorization.

221111220022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8655 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221111220022000 its reverse (220022111122), we get a palindrome (221331242133122).

The spelling of 221111220022000 in words is "two hundred twenty-one trillion, one hundred eleven billion, two hundred twenty million, twenty-two thousand".