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3112332221333 = 97461569122321
BaseRepresentation
bin101101010010100101011…
…101001101101110010101
3102000112110210011101001002
4231102211131031232111
5401443024022040313
610341441412513045
7440600331245456
oct55224535155625
912015423141032
103112332221333
11a9aa29445235
1242323591b785
1319765127401a
14aa8cdb3512d
1555e5b475058
hex2d4a574db95

3112332221333 has 16 divisors (see below), whose sum is σ = 3156802997040. Its totient is φ = 3068137881600.

The previous prime is 3112332221311. The next prime is 3112332221357. The reversal of 3112332221333 is 3331222332113.

It can be written as a sum of positive squares in 8 ways, for example, as 435597360004 + 2676734861329 = 659998^2 + 1636073^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112332221333 - 216 = 3112332155797 is a prime.

It is a super-2 number, since 2×31123322213332 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3112332221296 and 3112332221305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112332221233) 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, 25382813 + ... + 25505133.

It is an arithmetic number, because the mean of its divisors is an integer number (197300187315).

Almost surely, 23112332221333 is an apocalyptic number.

It is an amenable number.

3112332221333 is a deficient number, since it is larger than the sum of its proper divisors (44470775707).

3112332221333 is a wasteful number, since it uses less digits than its factorization.

3112332221333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123448.

The product of its digits is 11664, while the sum is 29.

Adding to 3112332221333 its reverse (3331222332113), we get a palindrome (6443554553446).

The spelling of 3112332221333 in words is "three trillion, one hundred twelve billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 97 461 569 44717 55193 122321 262309 11865137 25443973 56389981 69600649 5469828157 6751262953 32085899189 3112332221333