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132104401231 = 1127499145589
BaseRepresentation
bin111101100001000001…
…0010011000101001111
3110121222120201220102011
41323002002103011033
54131022211314411
6140404331442051
712354445611625
oct1730202230517
9417876656364
10132104401231
1151030543a00
12217295b6327
13c5c3b73a6a
146572b7d515
153682999c21
hex1ec209314f

132104401231 has 12 divisors (see below), whose sum is σ = 145226025000. Its totient is φ = 120078070640.

The previous prime is 132104401223. The next prime is 132104401241.

132104401231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132104401231 - 23 = 132104401223 is a prime.

It is a super-3 number, since 3×1321044012313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132104401201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834585 + ... + 980173.

It is an arithmetic number, because the mean of its divisors is an integer number (12102168750).

Almost surely, 2132104401231 is an apocalyptic number.

132104401231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132104401231 is a deficient number, since it is larger than the sum of its proper divisors (13121623769).

132104401231 is a wasteful number, since it uses less digits than its factorization.

132104401231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153110 (or 153099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 132104 and 401231, that added together give a palindrome (533335).

The spelling of 132104401231 in words is "one hundred thirty-two billion, one hundred four million, four hundred one thousand, two hundred thirty-one".

Divisors: 1 11 121 7499 82489 145589 907379 1601479 17616269 1091771911 12009491021 132104401231