Search a number
-
+
132133223310023 = 1324759397710207
BaseRepresentation
bin11110000010110010101001…
…110101101010001011000111
3122022211210221112000111110102
4132002302221311222023013
5114304332320131410043
61145005055332514315
736555211310520305
oct3602625165521307
9568753845014412
10132133223310023
1139113426941721
12129a037917b99b
135896156731800
14248b3d424d275
15104214d38e6b8
hex782ca9d6a2c7

132133223310023 has 48 divisors (see below), whose sum is σ = 148974593679360. Its totient is φ = 117054993863808.

The previous prime is 132133223309951. The next prime is 132133223310031. The reversal of 132133223310023 is 320013322331231.

It is not a de Polignac number, because 132133223310023 - 224 = 132133206532807 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133223310923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185693786 + ... + 186403992.

It is an arithmetic number, because the mean of its divisors is an integer number (3103637368320).

Almost surely, 2132133223310023 is an apocalyptic number.

132133223310023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132133223310023 is a deficient number, since it is larger than the sum of its proper divisors (16841370369337).

132133223310023 is a wasteful number, since it uses less digits than its factorization.

132133223310023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710736 (or 710723 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 132133223310023 its reverse (320013322331231), we get a palindrome (452146545641254).

The spelling of 132133223310023 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, two hundred twenty-three million, three hundred ten thousand, twenty-three".

Divisors: 1 13 47 59 169 397 611 767 2773 5161 7943 9971 18659 23423 36049 67093 242567 304499 468637 710207 1100881 3153371 3958487 9232691 14311453 33379729 41902213 120024983 186048889 281952179 433936477 544728769 1969404011 3665378327 5641174201 7081473997 13251752413 16635178561 25602252143 47649918251 172272781369 216257321293 332829277859 781853392367 2239546157797 2811345176809 10164094100771 132133223310023