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331404234430212 = 22329205673178617
BaseRepresentation
bin100101101011010010000111…
…1101010111001011100000100
31121110101221020220110111001200
41023112210033222321130010
5321414211333003231322
63132501000432422500
7126543110604660036
oct11326441752713404
91543357226414050
10331404234430212
1196660823710969
123120443b6a7a30
13112bc3927c0228
145bba09c927c56
15284a8b83c88ac
hex12d690fab9704

331404234430212 has 18 divisors (see below), whose sum is σ = 837716259254238. Its totient is φ = 110468078143392.

The previous prime is 331404234430187. The next prime is 331404234430237. The reversal of 331404234430212 is 212034432404133.

331404234430212 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 0 + 4 + 2 + 3 + 4 + 430 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (331404234430187) and next prime (331404234430237).

It can be written as a sum of positive squares in only one way, i.e., 254533179177216 + 76871055252996 = 15954096^2 + 8767614^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9205673178617 = 331404234430212 / (3 + 3 + 1 + 4 + 0 + 4 + 2 + 3 + 4 + 4 + 3 + 0 + 2 + 1 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4602836589273 + ... + 4602836589344.

It is an arithmetic number, because the mean of its divisors is an integer number (46539792180791).

Almost surely, 2331404234430212 is an apocalyptic number.

It is an amenable number.

331404234430212 is an abundant number, since it is smaller than the sum of its proper divisors (506312024824026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331404234430212 is a wasteful number, since it uses less digits than its factorization.

331404234430212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9205673178627 (or 9205673178622 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 331404234430212 its reverse (212034432404133), we get a palindrome (543438666834345).

The spelling of 331404234430212 in words is "three hundred thirty-one trillion, four hundred four billion, two hundred thirty-four million, four hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 9205673178617 18411346357234 27617019535851 36822692714468 55234039071702 82851058607553 110468078143404 165702117215106 331404234430212