Search a number
-
+
221313131311302 = 23212295173961739
BaseRepresentation
bin110010010100100001111010…
…100100110111000011000110
31002000121022212122022202011100
4302110201322210313003012
5213001443243103430202
62102405503212520530
764421226464330412
oct6224417244670306
91060538778282140
10221313131311302
1164576410005068
12209a3b73a80146
13966497acc6324
143c918813b7d42
151a8bce0a8941c
hexc9487a9370c6

221313131311302 has 12 divisors (see below), whose sum is σ = 479511784507860. Its totient is φ = 73771043770428.

The previous prime is 221313131311301. The next prime is 221313131311369. The reversal of 221313131311302 is 203113131313122.

221313131311302 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 31 + 313 + 11 + 302 = 666.

It is a super-3 number, since 3×2213131313113023 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313131311301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6147586980852 + ... + 6147586980887.

It is an arithmetic number, because the mean of its divisors is an integer number (39959315375655).

Almost surely, 2221313131311302 is an apocalyptic number.

221313131311302 is an abundant number, since it is smaller than the sum of its proper divisors (258198653196558).

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

221313131311302 is a wasteful number, since it uses less digits than its factorization.

221313131311302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12295173961747 (or 12295173961744 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 221313131311302 its reverse (203113131313122), we get a palindrome (424426262624424).

The spelling of 221313131311302 in words is "two hundred twenty-one trillion, three hundred thirteen billion, one hundred thirty-one million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 9 18 12295173961739 24590347923478 36885521885217 73771043770434 110656565655651 221313131311302