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331213140000221 = 6127491975163189
BaseRepresentation
bin100101101001111001001000…
…1100011011111110111011101
31121102201200000012120121222112
41023103302101203133313131
5321403044002320001341
63132233114351523405
7126523234242061013
oct11323622143376735
91542650005517875
10331213140000221
1196597781904286
12311933aa529565
13112a735a50ac0b
145bb0b314ba8b3
152845931bcbaeb
hex12d3c918dfddd

331213140000221 has 8 divisors (see below), whose sum is σ = 336765323895000. Its totient is φ = 325664906437440.

The previous prime is 331213140000203. The next prime is 331213140000233. The reversal of 331213140000221 is 122000041312133.

It can be written as a sum of positive squares in 4 ways, for example, as 18498514980100 + 312714625020121 = 4300990^2 + 17683739^2 .

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 331213140000221 - 26 = 331213140000157 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 (331213140000121) 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, 987413906 + ... + 987749283.

It is an arithmetic number, because the mean of its divisors is an integer number (42095665486875).

Almost surely, 2331213140000221 is an apocalyptic number.

It is an amenable number.

331213140000221 is a deficient number, since it is larger than the sum of its proper divisors (5552183894779).

331213140000221 is a wasteful number, since it uses less digits than its factorization.

331213140000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975165999.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 331213140000221 its reverse (122000041312133), we get a palindrome (453213181312354).

The spelling of 331213140000221 in words is "three hundred thirty-one trillion, two hundred thirteen billion, one hundred forty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 61 2749 167689 1975163189 120484954529 5429723606561 331213140000221