Search a number
-
+
132120301311 = 3419292960281
BaseRepresentation
bin111101100001011111…
…0111100111011111111
3110122000200122201020000
41323002332330323333
54131040244120221
6140410100325343
712355031013555
oct1730276747377
9418020581200
10132120301311
1151039513969
12217329a3853
13c5c724ccab
146574d1bbd5
15368408ae26
hex1ec2fbceff

132120301311 has 40 divisors (see below), whose sum is σ = 214916473200. Its totient is φ = 80566980480.

The previous prime is 132120301249. The next prime is 132120301373. The reversal of 132120301311 is 113103021231.

132120301311 is a `hidden beast` number, since 1 + 32 + 1 + 20 + 301 + 311 = 666.

It is an interprime number because it is at equal distance from previous prime (132120301249) and next prime (132120301373).

It is not a de Polignac number, because 132120301311 - 210 = 132120300287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132120301381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1435510 + ... + 1524771.

It is an arithmetic number, because the mean of its divisors is an integer number (5372911830).

Almost surely, 2132120301311 is an apocalyptic number.

132120301311 is a deficient number, since it is larger than the sum of its proper divisors (82796171889).

132120301311 is a wasteful number, since it uses less digits than its factorization.

132120301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960341 (or 2960332 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132120301311 its reverse (113103021231), we get a palindrome (245223322542).

The spelling of 132120301311 in words is "one hundred thirty-two billion, one hundred twenty million, three hundred one thousand, three hundred eleven".

Divisors: 1 3 9 19 27 29 57 81 87 171 261 513 551 783 1539 1653 2349 4959 14877 44631 2960281 8880843 26642529 56245339 79927587 85848149 168736017 239782761 257544447 506208051 772633341 1518624153 1631114831 2317900023 4555872459 4893344493 6953700069 14680033479 44040100437 132120301311