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331411121412133 = 729082174470577
BaseRepresentation
bin100101101011010101010101…
…0001010101001100000100101
31121110102121000212112102012011
41023112222222022221200211
5321414314434040142013
63132504100052354221
7126543443352234400
oct11326525212514045
91543377025472164
10331411121412133
1196663738192364
1231205842015971
13112bcc1c575169
145bba553464d37
15284ab6cd1ac3d
hex12d6aaa2a9825

331411121412133 has 12 divisors (see below), whose sum is σ = 385523309601612. Its totient is φ = 284063543917440.

The previous prime is 331411121412053. The next prime is 331411121412223. The reversal of 331411121412133 is 331214121114133.

It can be written as a sum of positive squares in 2 ways, for example, as 99556353150849 + 231854768261284 = 9977793^2 + 15226778^2 .

It is a de Polignac number, because none of the positive numbers 2k-331411121412133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331411121412095 and 331411121412104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331411121412533) 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, 32785060 + ... + 41685517.

It is an arithmetic number, because the mean of its divisors is an integer number (32126942466801).

Almost surely, 2331411121412133 is an apocalyptic number.

It is an amenable number.

331411121412133 is a deficient number, since it is larger than the sum of its proper divisors (54112188189479).

331411121412133 is an equidigital number, since it uses as much as digits as its factorization.

331411121412133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74561412 (or 74561405 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

Adding to 331411121412133 its reverse (331214121114133), we get a palindrome (662625242526266).

The spelling of 331411121412133 in words is "three hundred thirty-one trillion, four hundred eleven billion, one hundred twenty-one million, four hundred twelve thousand, one hundred thirty-three".

Divisors: 1 7 49 90821 635747 4450229 74470577 521294039 3649058273 6763492273717 47344445916019 331411121412133