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221012000110200 = 233521352275420867
BaseRepresentation
bin110010010000001001011101…
…110000011111011001111000
31001222112112121021211202020010
4302100021131300133121320
5212432030034012011300
62102015302230101520
764360406252341455
oct6220113560373170
91058475537752203
10221012000110200
116446a732322722
12209557337aa8a0
13964245aa11170
143c81075d3482c
151a84068e2ea50
hexc9025dc1f678

221012000110200 has 192 divisors, whose sum is σ = 737981357420160. Its totient is φ = 54392535774720.

The previous prime is 221012000110177. The next prime is 221012000110207. The reversal of 221012000110200 is 2011000210122.

It is a super-2 number, since 2×2210120001102002 (a number of 29 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 not an unprimeable number, because it can be changed into a prime (221012000110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38060167 + ... + 43481033.

It is an arithmetic number, because the mean of its divisors is an integer number (3843652903230).

Almost surely, 2221012000110200 is an apocalyptic number.

221012000110200 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 221012000110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368990678710080).

221012000110200 is an abundant number, since it is smaller than the sum of its proper divisors (516969357309960).

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

221012000110200 is a wasteful number, since it uses less digits than its factorization.

221012000110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426126 (or 5426117 counting only the distinct ones).

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

Adding to 221012000110200 its reverse (2011000210122), we get a palindrome (223023000320322).

The spelling of 221012000110200 in words is "two hundred twenty-one trillion, twelve billion, one hundred ten thousand, two hundred".