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331122003131323 = 19457271914025199
BaseRepresentation
bin100101101001001110101100…
…1010111111011101110111011
31121102101221202201110222220201
41023102131121113323232323
5321400100330300200243
63132123203120303031
7126513526626343615
oct11322353127735673
91542357681428821
10331122003131323
1196562064486818
12311797b4a71a77
131129b894cc9661
145baa567603db5
15284339ab3504d
hex12d27595fbbbb

331122003131323 has 16 divisors (see below), whose sum is σ = 349440663040000. Its totient is φ = 312892966850112.

The previous prime is 331122003131279. The next prime is 331122003131341. The reversal of 331122003131323 is 323131300221133.

It is a happy number.

It is not a de Polignac number, because 331122003131323 - 221 = 331122001034171 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331122003131291 and 331122003131300.

It is not an unprimeable number, because it can be changed into a prime (331122003134323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16596478 + ... + 30621676.

It is an arithmetic number, because the mean of its divisors is an integer number (21840041440000).

Almost surely, 2331122003131323 is an apocalyptic number.

331122003131323 is a deficient number, since it is larger than the sum of its proper divisors (18318659908677).

331122003131323 is a wasteful number, since it uses less digits than its factorization.

331122003131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14028394.

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

Adding to 331122003131323 its reverse (323131300221133), we get a palindrome (654253303352456).

The spelling of 331122003131323 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, three million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 19 457 2719 8683 51661 1242583 14025199 23609077 266478781 6409515943 38134516081 121780802917 724555805539 17427473849017 331122003131323