Search a number
-
+
201221220101100 = 22352131157233139967
BaseRepresentation
bin101101110000001001110111…
…010110000110101111101100
3222101110120010210200222212020
4231300021313112012233230
5202333302024321213400
61551543430302310140
760245516263022523
oct5560116726065754
9871416123628766
10201221220101100
115912a492a14481
121a69a02b588350
138838105c63114
1437992324b74ba
15183e35bba22a0
hexb70277586bec

201221220101100 has 288 divisors, whose sum is σ = 592918986756096. Its totient is φ = 52682754508800.

The previous prime is 201221220100891. The next prime is 201221220101107. The reversal of 201221220101100 is 1101022122102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201221220101100.

It is not an unprimeable number, because it can be changed into a prime (201221220101107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1437563317 + ... + 1437703283.

It is an arithmetic number, because the mean of its divisors is an integer number (2058746481792).

Almost surely, 2201221220101100 is an apocalyptic number.

201221220101100 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 201221220101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296459493378048).

201221220101100 is an abundant number, since it is smaller than the sum of its proper divisors (391697766654996).

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

201221220101100 is a wasteful number, since it uses less digits than its factorization.

201221220101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140505 (or 140498 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201221220101100 its reverse (1101022122102), we get a palindrome (202322242223202).

The spelling of 201221220101100 in words is "two hundred one trillion, two hundred twenty-one billion, two hundred twenty million, one hundred one thousand, one hundred".