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331231020132133 = 113719346117897
BaseRepresentation
bin100101101010000001011101…
…1010010110010011100100101
31121102210101011022012102220101
41023110002323102302130211
5321403342112123212013
63132245232513104101
7126524436313511332
oct11324027322623445
91542711138172811
10331231020132133
11965a4317765000
123119695a558031
13112a8c4995c624
145bb194a023989
15284612b7a88dd
hex12d40bb4b2725

331231020132133 has 16 divisors (see below), whose sum is σ = 364835953923840. Its totient is φ = 300700305686880.

The previous prime is 331231020132121. The next prime is 331231020132251.

It is a happy number.

331231020132133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331231020132133 - 221 = 331231018034981 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 (331231020132533) 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 in 15 ways as a sum of consecutive naturals, for example, 172101960 + ... + 174015937.

It is an arithmetic number, because the mean of its divisors is an integer number (22802247120240).

Almost surely, 2331231020132133 is an apocalyptic number.

It is an amenable number.

331231020132133 is a deficient number, since it is larger than the sum of its proper divisors (33604933791707).

331231020132133 is an equidigital number, since it uses as much as digits as its factorization.

331231020132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346118649 (or 346118627 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 331231020132133 in words is "three hundred thirty-one trillion, two hundred thirty-one billion, twenty million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 11 121 719 1331 7909 86999 956989 346117897 3807296867 41880265537 248858767943 460682920907 2737446447373 30111910921103 331231020132133