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201221110200 = 233521147996353
BaseRepresentation
bin1011101101100110110…
…1100111100110111000
3201020101110000111210010
42323121231213212320
511244100101011300
6232234550421520
720352306134025
oct2733155474670
9636343014703
10201221110200
1178379086390
1232bb86618a0
1315c8a2c51a6
149a4c34854c
15537a77ea50
hex2ed9b679b8

201221110200 has 192 divisors, whose sum is σ = 680742144000. Its totient is φ = 48763033600.

The previous prime is 201221110187. The next prime is 201221110247. The reversal of 201221110200 is 2011122102.

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 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, 31670224 + ... + 31676576.

It is an arithmetic number, because the mean of its divisors is an integer number (3545532000).

Almost surely, 2201221110200 is an apocalyptic number.

201221110200 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 201221110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340371072000).

201221110200 is an abundant number, since it is smaller than the sum of its proper divisors (479521033800).

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

201221110200 is a wasteful number, since it uses less digits than its factorization.

201221110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11173 counting only the distinct ones).

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

Adding to 201221110200 its reverse (2011122102), we get a palindrome (203232232302).

The spelling of 201221110200 in words is "two hundred one billion, two hundred twenty-one million, one hundred ten thousand, two hundred".