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201221310000 = 2435431613547
BaseRepresentation
bin1011101101100110111…
…0011000011000110000
3201020101110101122212010
42323121232120120300
511244100123410000
6232234555002520
720352310625364
oct2733156303060
9636343348763
10201221310000
1178379202507
1232bb8739440
1315c8a365109
149a4c39b2a4
15537a7bdd50
hex2ed9b98630

201221310000 has 400 divisors, whose sum is σ = 681707383808. Its totient is φ = 51062400000.

The previous prime is 201221309929. The next prime is 201221310001. The reversal of 201221310000 is 13122102.

201221310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2012213100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201221310001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 56728227 + ... + 56731773.

Almost surely, 2201221310000 is an apocalyptic number.

201221310000 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 201221310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340853691904).

201221310000 is an abundant number, since it is smaller than the sum of its proper divisors (480486073808).

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

201221310000 is a wasteful number, since it uses less digits than its factorization.

201221310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 201221310000 its reverse (13122102), we get a palindrome (201234432102).

The spelling of 201221310000 in words is "two hundred one billion, two hundred twenty-one million, three hundred ten thousand".