Search a number
-
+
221013133221303 = 344555759893259
BaseRepresentation
bin110010010000001010100001…
…010010111101110110110111
31001222112122112020222202110000
4302100022201102331312313
5212432034344101040203
62102020010504402343
764360446321541413
oct6220124122756667
91058478466882400
10221013133221303
11644701639a2885
12209559ab1763b3
1396425ab6b5bc7
143c81142611d43
151a840d36564a3
hexc902a14bddb7

221013133221303 has 20 divisors (see below), whose sum is σ = 330162673828680. Its totient is φ = 147338852118192.

The previous prime is 221013133221277. The next prime is 221013133221313. The reversal of 221013133221303 is 303122331310122.

221013133221303 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 1 + 3 + 1 + 332 + 21 + 303 = 666.

221013133221303 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221013133221303 - 220 = 221013132172727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221013133221313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26256513 + ... + 33636746.

It is an arithmetic number, because the mean of its divisors is an integer number (16508133691434).

Almost surely, 2221013133221303 is an apocalyptic number.

221013133221303 is a deficient number, since it is larger than the sum of its proper divisors (109149540607377).

221013133221303 is an equidigital number, since it uses as much as digits as its factorization.

221013133221303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59938828 (or 59938819 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 221013133221303 its reverse (303122331310122), we get a palindrome (524135464531425).

The spelling of 221013133221303 in words is "two hundred twenty-one trillion, thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred three".

Divisors: 1 3 9 27 81 45557 136671 410013 1230039 3690117 59893259 179679777 539039331 1617117993 4851353979 2728557200263 8185671600789 24557014802367 73671044407101 221013133221303