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132141141231 = 31110139646307
BaseRepresentation
bin111101100010000111…
…0011100110011101111
3110122002010212111012220
41323010032130303233
54131111113004411
6140412123130423
712355403111421
oct1730416346357
9418063774186
10132141141231
115104a258240
1221739973a13
13c5cb6687c8
1465779c4811
153685d05b06
hex1ec439ccef

132141141231 has 16 divisors (see below), whose sum is σ = 194108323968. Its totient is φ = 79292612000.

The previous prime is 132141141217. The next prime is 132141141281.

132141141231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 132141141231 - 219 = 132140616943 is a prime.

It is a super-2 number, since 2×1321411412312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141141281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19819821 + ... + 19826486.

It is an arithmetic number, because the mean of its divisors is an integer number (12131770248).

Almost surely, 2132141141231 is an apocalyptic number.

132141141231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132141141231 is a deficient number, since it is larger than the sum of its proper divisors (61967182737).

132141141231 is a wasteful number, since it uses less digits than its factorization.

132141141231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39646422.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 132141 and 141231, that added together give a palindrome (273372).

The spelling of 132141141231 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 39646307 118938921 436109377 1308328131 4004277007 12012831021 44047047077 132141141231