Search a number
-
+
221011110021 = 31347920913093
BaseRepresentation
bin1100110111010101001…
…0011110100010000101
3210010110122101122221110
43031311102132202011
512110112321010041
6245310415035233
721652601303352
oct3156522364205
9703418348843
10221011110021
1185804012139
1236a0020bb19
1317ac2323b60
14a9a87a7629
155b37d68516
hex337549e885

221011110021 has 32 divisors (see below), whose sum is σ = 324161349120. Its totient is φ = 133088454144.

The previous prime is 221011109989. The next prime is 221011110029. The reversal of 221011110021 is 120011110122.

221011110021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221011110021 - 25 = 221011109989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221011109979 and 221011110006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011110029) 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 31 ways as a sum of consecutive naturals, for example, 16873551 + ... + 16886643.

It is an arithmetic number, because the mean of its divisors is an integer number (10130042160).

Almost surely, 2221011110021 is an apocalyptic number.

It is an amenable number.

221011110021 is a deficient number, since it is larger than the sum of its proper divisors (103150239099).

221011110021 is a wasteful number, since it uses less digits than its factorization.

221011110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22365.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221011110021 its reverse (120011110122), we get a palindrome (341022220143).

The spelling of 221011110021 in words is "two hundred twenty-one billion, eleven million, one hundred ten thousand, twenty-one".

Divisors: 1 3 13 39 47 141 611 1833 9209 13093 27627 39279 119717 170209 359151 432823 510627 615371 1298469 1846113 5626699 7999823 16880097 23999469 120573437 361720311 1567454681 4702364043 5666951539 17000854617 73670370007 221011110021