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201221000000 = 2656316491
BaseRepresentation
bin1011101101100110110…
…1001100101101000000
3201020101102210220121122
42323121231030231000
511244100034000000
6232234544211412
720352305164526
oct2733155145500
9636342726548
10201221000000
1178379010609
1232bb8609b68
1315c8a286c97
149a4c31a316
15537a75c085
hex2ed9b4cb40

201221000000 has 196 divisors, whose sum is σ = 515295904128. Its totient is φ = 77880000000.

The previous prime is 201220999997. The next prime is 201221000023. The reversal of 201221000000 is 122102.

201221000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30996755 + ... + 31003245.

Almost surely, 2201221000000 is an apocalyptic number.

201221000000 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 201221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257647952064).

201221000000 is an abundant number, since it is smaller than the sum of its proper divisors (314074904128).

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

201221000000 is an frugal number, since it uses more digits than its factorization.

201221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 201221000000 its reverse (122102), we get a palindrome (201221122102).

The spelling of 201221000000 in words is "two hundred one billion, two hundred twenty-one million", and thus it is an aban number.