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132331133231 = 1119960452779
BaseRepresentation
bin111101100111110001…
…1001101100100101111
3110122120101101002020122
41323033203031210233
54132003232230411
6140443031235155
712363201034103
oct1731743154457
9418511332218
10132331133231
1151137525020
1221791518abb
13c62bb2a6cb
146594d1d903
1536978349db
hex1ecf8cd92f

132331133231 has 8 divisors (see below), whose sum is σ = 145086672000. Its totient is φ = 119696500440.

The previous prime is 132331133197. The next prime is 132331133243.

132331133231 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132331133231 - 214 = 132331116847 is a prime.

It is a super-2 number, since 2×1323311332312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132331133231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132331133261) 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 7 ways as a sum of consecutive naturals, for example, 30224201 + ... + 30228578.

It is an arithmetic number, because the mean of its divisors is an integer number (18135834000).

Almost surely, 2132331133231 is an apocalyptic number.

132331133231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132331133231 is a deficient number, since it is larger than the sum of its proper divisors (12755538769).

132331133231 is a wasteful number, since it uses less digits than its factorization.

132331133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60452989.

The product of its digits is 2916, while the sum is 26.

It can be divided in two parts, 132331 and 133231, that added together give a palindrome (265562).

The spelling of 132331133231 in words is "one hundred thirty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 11 199 2189 60452779 664980569 12030103021 132331133231