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1223201313 = 32376136137
BaseRepresentation
bin100100011101000…
…1001001000100001
310011020200001202100
41020322021020201
510001114420223
6321213241013
742212016405
oct11072111041
93136601670
101223201313
11578513284
122a1793169
13166558a79
14b864d105
15725c0043
hex48e89221

1223201313 has 12 divisors (see below), whose sum is σ = 1767365028. Its totient is φ = 815228160.

The previous prime is 1223201311. The next prime is 1223201327. The reversal of 1223201313 is 3131023221.

It can be written as a sum of positive squares in 2 ways, for example, as 638673984 + 584527329 = 25272^2 + 24177^2 .

It is not a de Polignac number, because 1223201313 - 21 = 1223201311 is a prime.

It is a super-3 number, since 3×12232013133 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1223201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15781 + ... + 51917.

It is an arithmetic number, because the mean of its divisors is an integer number (147280419).

Almost surely, 21223201313 is an apocalyptic number.

It is an amenable number.

1223201313 is a deficient number, since it is larger than the sum of its proper divisors (544163715).

1223201313 is a wasteful number, since it uses less digits than its factorization.

1223201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39904 (or 39901 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1223201313 is about 34974.2950322090. The cubic root of 1223201313 is about 1069.4635308234.

Adding to 1223201313 its reverse (3131023221), we get a palindrome (4354224534).

The spelling of 1223201313 in words is "one billion, two hundred twenty-three million, two hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 3761 11283 33849 36137 108411 325233 135911257 407733771 1223201313