Search a number
-
+
13132032330123 = 3273159333113327
BaseRepresentation
bin1011111100011000101000…
…0111110100100110001011
31201111102001220121211201100
42333012022013310212023
53210123400234030443
643532434455352443
72523521001032430
oct277061207644613
951442056554640
1013132032330123
1142032999985a3
1215810ab082723
13743464916a45
143358453a3b87
1517b8dab473d3
hexbf18a1f498b

13132032330123 has 48 divisors (see below), whose sum is σ = 22378149421056. Its totient is φ = 7261766890560.

The previous prime is 13132032330083. The next prime is 13132032330127. The reversal of 13132032330123 is 32103323023131.

13132032330123 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 203 + 2 + 330 + 123 = 666.

It is not a de Polignac number, because 13132032330123 - 214 = 13132032313739 is a prime.

It is a super-3 number, since 3×131320323301233 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13132032330127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115820686 + ... + 115934012.

It is an arithmetic number, because the mean of its divisors is an integer number (466211446272).

Almost surely, 213132032330123 is an apocalyptic number.

13132032330123 is a deficient number, since it is larger than the sum of its proper divisors (9246117090933).

13132032330123 is a wasteful number, since it uses less digits than its factorization.

13132032330123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172704 (or 172701 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13132032330123 its reverse (32103323023131), we get a palindrome (45235355353254).

The spelling of 13132032330123 in words is "thirteen trillion, one hundred thirty-two billion, thirty-two million, three hundred thirty thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 59333 113327 177999 339981 415331 533997 793289 1019943 1245993 1839323 2379867 3513137 3737979 5517969 7139601 10539411 12875261 16553907 24591959 31618233 38625783 73775877 115877349 221327631 6724030891 20172092673 47068216237 60516278019 141204648711 208444957621 423613946133 625334872863 1459114703347 1876004618589 4377344110041 13132032330123