Search a number
-
+
221214030111330 = 2351959145114813061
BaseRepresentation
bin110010010011000101100111…
…101011110010001001100010
31002000020212002002221011202120
4302103011213223302021202
5212443332313202030310
62102252153354125110
764411120613122224
oct6223054753621142
91060225062834676
10221214030111330
1164538385a61803
1220988917120796
139658516780029
143c8ab5d880414
151a894406e0b70
hexc93167af2262

221214030111330 has 256 divisors, whose sum is σ = 569290253875200. Its totient is φ = 54845579520000.

The previous prime is 221214030111313. The next prime is 221214030111343. The reversal of 221214030111330 is 33111030412122.

It is a self number, because there is not a number n which added to its sum of digits gives 221214030111330.

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 127 ways as a sum of consecutive naturals, for example, 72268548000 + ... + 72268551060.

It is an arithmetic number, because the mean of its divisors is an integer number (2223790054200).

Almost surely, 2221214030111330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221214030111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284645126937600).

221214030111330 is an abundant number, since it is smaller than the sum of its proper divisors (348076223763870).

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

221214030111330 is a wasteful number, since it uses less digits than its factorization.

221214030111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221214030111330 its reverse (33111030412122), we get a palindrome (254325060523452).

The spelling of 221214030111330 in words is "two hundred twenty-one trillion, two hundred fourteen billion, thirty million, one hundred eleven thousand, three hundred thirty".