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3582381121213 is a prime number
BaseRepresentation
bin110100001000010110100…
…011011101111010111101
3110200110202022002112221011
4310020112203131322331
5432143204031334323
611341420112035221
7516550513052416
oct64102643357275
913613668075834
103582381121213
111161308828924
1249a358232b11
131cca811bb43b
14c55611dc80d
15632bc8dd20d
hex342168ddebd

3582381121213 has 2 divisors, whose sum is σ = 3582381121214. Its totient is φ = 3582381121212.

The previous prime is 3582381121157. The next prime is 3582381121247. The reversal of 3582381121213 is 3121211832853.

3582381121213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3556309529124 + 26071592089 = 1885818^2 + 161467^2 .

It is a cyclic number.

It is not a de Polignac number, because 3582381121213 - 225 = 3582347566781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3582381121273) 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 as a sum of consecutive naturals, namely, 1791190560606 + 1791190560607.

It is an arithmetic number, because the mean of its divisors is an integer number (1791190560607).

Almost surely, 23582381121213 is an apocalyptic number.

It is an amenable number.

3582381121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3582381121213 is an equidigital number, since it uses as much as digits as its factorization.

3582381121213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69120, while the sum is 40.

The spelling of 3582381121213 in words is "three trillion, five hundred eighty-two billion, three hundred eighty-one million, one hundred twenty-one thousand, two hundred thirteen".