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331212221113313 = 7376914437408677
BaseRepresentation
bin100101101001111000101101…
…0110010001110001111100001
31121102201120122011112100010002
41023103301122302032033201
5321403040112101111223
63132232443244545345
7126523202413500311
oct11323613262161741
91542646564470102
10331212221113313
1196597350151a11
1231193192852255
13112a7242030957
145bb0a85445441
1528458cb1bde28
hex12d3c5ac8e3e1

331212221113313 has 16 divisors (see below), whose sum is σ = 336210089088720. Its totient is φ = 326226865913856.

The previous prime is 331212221113229. The next prime is 331212221113327. The reversal of 331212221113313 is 313311122212133.

It can be written as a sum of positive squares in 8 ways, for example, as 7475975413729 + 323736245699584 = 2734223^2 + 17992672^2 .

It is a cyclic number.

It is not a de Polignac number, because 331212221113313 - 232 = 331207926146017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331212221113363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810245531 + ... + 810654207.

It is an arithmetic number, because the mean of its divisors is an integer number (21013130568045).

Almost surely, 2331212221113313 is an apocalyptic number.

It is an amenable number.

331212221113313 is a deficient number, since it is larger than the sum of its proper divisors (4997867975407).

331212221113313 is a wasteful number, since it uses less digits than its factorization.

331212221113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423956.

The product of its digits is 3888, while the sum is 29.

Adding to 331212221113313 its reverse (313311122212133), we get a palindrome (644523343325446).

The spelling of 331212221113313 in words is "three hundred thirty-one trillion, two hundred twelve billion, two hundred twenty-one million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 73 769 14437 56137 408677 1053901 11102053 29833421 314272613 810449869 5900069849 22941900749 430705098977 4537153713881 331212221113313