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13324004133 = 311171011132081
BaseRepresentation
bin11000110100010110…
…00010101100100101
31021101120110112120120
430122023002230211
5204241421113013
610042043352153
7651116111046
oct143213025445
937346415516
1013324004133
115718064570
1226ba222659
13134455561b
149057ca8cd
1552eb03123
hex31a2c2b25

13324004133 has 64 divisors (see below), whose sum is σ = 20917004544. Its totient is φ = 7454720000.

The previous prime is 13324004131. The next prime is 13324004137. The reversal of 13324004133 is 33140042331.

It is a cyclic number.

It is not a de Polignac number, because 13324004133 - 21 = 13324004131 is a prime.

It is a super-2 number, since 2×133240041332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13324004131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6401653 + ... + 6403733.

It is an arithmetic number, because the mean of its divisors is an integer number (326828196).

Almost surely, 213324004133 is an apocalyptic number.

It is an amenable number.

13324004133 is a deficient number, since it is larger than the sum of its proper divisors (7593000411).

13324004133 is a wasteful number, since it uses less digits than its factorization.

13324004133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13324004133 its reverse (33140042331), we get a palindrome (46464046464).

The spelling of 13324004133 in words is "thirteen billion, three hundred twenty-four million, four thousand, one hundred thirty-three".

Divisors: 1 3 11 17 33 51 101 113 187 303 339 561 1111 1243 1717 1921 2081 3333 3729 5151 5763 6243 11413 18887 21131 22891 34239 35377 56661 63393 68673 106131 125543 194021 210181 235153 376629 389147 582063 630543 705459 1167441 2134231 2311991 2586683 3573077 3997601 6402693 6935973 7760049 10719231 11992803 23750453 39303847 43973611 71251359 117911541 131920833 261254983 403757701 783764949 1211273103 4441334711 13324004133