Search a number
-
+
13330131201 = 35617397127
BaseRepresentation
bin11000110101000100…
…11010100100000001
31021101222222211100000
430122202122210001
5204300003144301
610042422550213
7651222150162
oct143242324401
937358884300
1013330131201
115720569962
122700298369
1313458bc3ca
14906543769
15530413786
hex31a89a901

13330131201 has 96 divisors (see below), whose sum is σ = 20948881408. Its totient is φ = 8465264640.

The previous prime is 13330131187. The next prime is 13330131251. The reversal of 13330131201 is 10213103331.

It is a happy number.

13330131201 is a `hidden beast` number, since 1 + 3 + 330 + 131 + 201 = 666.

It is not a de Polignac number, because 13330131201 - 215 = 13330098433 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13330131251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104961600 + ... + 104961726.

Almost surely, 213330131201 is an apocalyptic number.

It is an amenable number.

13330131201 is a deficient number, since it is larger than the sum of its proper divisors (7618750207).

13330131201 is an equidigital number, since it uses as much as digits as its factorization.

13330131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13330131201 its reverse (10213103331), we get a palindrome (23543234532).

The spelling of 13330131201 in words is "thirteen billion, three hundred thirty million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 27 61 73 81 97 127 183 219 243 291 381 549 657 873 1143 1647 1971 2619 3429 4453 4941 5913 5917 7081 7747 7857 9271 10287 12319 13359 14823 17739 17751 21243 23241 23571 27813 30861 36957 40077 53253 63729 69723 83439 110871 120231 159759 191187 209169 250317 332613 360693 431941 479277 565531 573561 627507 750951 751459 899287 997839 1082079 1295823 1437831 1696593 1720683 1882521 2252853 2254377 2697861 2993517 3887469 5089779 6763131 8093583 11662407 15269337 20289393 24280749 34987221 45808011 54856507 60868179 72842247 104961663 137424033 164569521 182604537 218526741 493708563 1481125689 4443377067 13330131201