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221311373013 = 351019017291
BaseRepresentation
bin1100111000011100101…
…1111000111011010101
3210011020120101121100000
43032013023320323111
512111221202414023
6245400302441513
721663205426563
oct3160713707325
9704216347300
10221311373013
1185948556175
1236a84893299
1317b3c5b4573
14a9d6608a33
155b543ca243
hex33872f8ed5

221311373013 has 24 divisors (see below), whose sum is σ = 334794017376. Its totient is φ = 146080098000.

The previous prime is 221311372993. The next prime is 221311373029. The reversal of 221311373013 is 310373113122.

It is a happy number.

221311373013 is a `hidden beast` number, since 221 + 3 + 1 + 137 + 301 + 3 = 666.

It is not a de Polignac number, because 221311373013 - 210 = 221311371989 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 (221311373083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4484103 + ... + 4533188.

It is an arithmetic number, because the mean of its divisors is an integer number (13949750724).

Almost surely, 2221311373013 is an apocalyptic number.

It is an amenable number.

221311373013 is a deficient number, since it is larger than the sum of its proper divisors (113482644363).

221311373013 is an equidigital number, since it uses as much as digits as its factorization.

221311373013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017407 (or 9017395 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 221311373013 its reverse (310373113122), we get a palindrome (531684486135).

The spelling of 221311373013 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred seventy-three thousand, thirteen".

Divisors: 1 3 9 27 81 101 243 303 909 2727 8181 24543 9017291 27051873 81155619 243466857 730400571 910746391 2191201713 2732239173 8196717519 24590152557 73770457671 221311373013