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132224412141 = 3273201254813
BaseRepresentation
bin111101100100100110…
…0000110100111101101
3110122021221120002102200
41323021030012213231
54131243422142031
6140424300012113
712360433646643
oct1731114064755
9418257502380
10132224412141
1151092262978
1221761831039
13c6129a2933
146584a9d193
15368d2a38e6
hex1ec93069ed

132224412141 has 12 divisors (see below), whose sum is σ = 193607131068. Its totient is φ = 86942078784.

The previous prime is 132224412107. The next prime is 132224412143. The reversal of 132224412141 is 141214422231.

132224412141 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 441 + 214 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80445409641 + 51779002500 = 283629^2 + 227550^2 .

It is not a de Polignac number, because 132224412141 - 214 = 132224395757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132224412143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100626750 + ... + 100628063.

It is an arithmetic number, because the mean of its divisors is an integer number (16133927589).

Almost surely, 2132224412141 is an apocalyptic number.

It is an amenable number.

132224412141 is a deficient number, since it is larger than the sum of its proper divisors (61382718927).

132224412141 is a wasteful number, since it uses less digits than its factorization.

132224412141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201254892 (or 201254889 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 132224412141 its reverse (141214422231), we get a palindrome (273438834372).

The spelling of 132224412141 in words is "one hundred thirty-two billion, two hundred twenty-four million, four hundred twelve thousand, one hundred forty-one".

Divisors: 1 3 9 73 219 657 201254813 603764439 1811293317 14691601349 44074804047 132224412141