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132142241231 = 71113132010231
BaseRepresentation
bin111101100010001001…
…0101001010111001111
3110122002012221101010122
41323010102221113033
54131111403204411
6140412202455155
712355415342420
oct1730422512717
9418065841118
10132142241231
115104a939730
122173a2044bb
13c5cb9623b0
146577bcd647
153685e719db
hex1ec44a95cf

132142241231 has 16 divisors (see below), whose sum is σ = 177421751808. Its totient is φ = 95047365600.

The previous prime is 132142241227. The next prime is 132142241239.

It is a happy number.

132142241231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132142241231 - 22 = 132142241227 is a prime.

It is a super-2 number, since 2×1321422412312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 132142241231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132142241239) 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, 66004115 + ... + 66006116.

It is an arithmetic number, because the mean of its divisors is an integer number (11088859488).

Almost surely, 2132142241231 is an apocalyptic number.

132142241231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132142241231 is a deficient number, since it is larger than the sum of its proper divisors (45279510577).

132142241231 is a wasteful number, since it uses less digits than its factorization.

132142241231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132010262.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 132142 and 241231, that added together give a palindrome (373373).

The spelling of 132142241231 in words is "one hundred thirty-two billion, one hundred forty-two million, two hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 132010231 924071617 1452112541 1716133003 10164787787 12012931021 18877463033 132142241231