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132213312323221 = 6111230931929877
BaseRepresentation
bin11110000011111101001111…
…100000111111111010010101
3122100010110200001121220121111
4132003331033200333322111
5114312140330423320341
61145105542430215021
736564045063064513
oct3603751740777225
9570113601556544
10132213312323221
1139144395015728
12129b39aa954471
1358a087b13134c
142491230b594b3
151044289592681
hex783f4f83fe95

132213312323221 has 8 divisors (see below), whose sum is σ = 134380932956984. Its totient is φ = 130045697795520.

The previous prime is 132213312323143. The next prime is 132213312323231. The reversal of 132213312323221 is 122323213312231.

It can be written as a sum of positive squares in 4 ways, for example, as 369846422500 + 131843465900721 = 608150^2 + 11482311^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 132213312323221 - 29 = 132213312322709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213312323231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67543735 + ... + 69473611.

It is an arithmetic number, because the mean of its divisors is an integer number (16797616619623).

Almost surely, 2132213312323221 is an apocalyptic number.

It is an amenable number.

132213312323221 is a deficient number, since it is larger than the sum of its proper divisors (2167620633763).

132213312323221 is a wasteful number, since it uses less digits than its factorization.

132213312323221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053031.

The product of its digits is 15552, while the sum is 31.

Adding to 132213312323221 its reverse (122323213312231), we get a palindrome (254536525635452).

The spelling of 132213312323221 in words is "one hundred thirty-two trillion, two hundred thirteen billion, three hundred twelve million, three hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 61 1123093 1929877 68508673 117722497 2167431349561 132213312323221