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3220313231133 = 3214092521100733
BaseRepresentation
bin101110110111001001101…
…000000100111100011101
3102101212012011111000112100
4232313021220010330131
5410230200141344013
610503220320355313
7451442235552225
oct56671150047435
912355164430470
103220313231133
1110317aa9580a9
12440150475b39
131a489c3a7c6b
14b1c14b19085
1558b7b1a8473
hex2edc9a04f1d

3220313231133 has 24 divisors (see below), whose sum is σ = 4656757542840. Its totient is φ = 2144479518720.

The previous prime is 3220313231123. The next prime is 3220313231183. The reversal of 3220313231133 is 3311323130223.

3220313231133 is a `hidden beast` number, since 3 + 2 + 2 + 0 + 313 + 2 + 311 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 326238595929 + 2894074635204 = 571173^2 + 1701198^2 .

It is not a de Polignac number, because 3220313231133 - 212 = 3220313227037 is a prime.

It is a super-2 number, since 2×32203132311332 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3220313231097 and 3220313231106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220313231123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31918435 + ... + 32019167.

It is an arithmetic number, because the mean of its divisors is an integer number (194031564285).

Almost surely, 23220313231133 is an apocalyptic number.

It is an amenable number.

3220313231133 is a deficient number, since it is larger than the sum of its proper divisors (1436444311707).

3220313231133 is a wasteful number, since it uses less digits than its factorization.

3220313231133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104669 (or 104666 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 3220313231133 its reverse (3311323130223), we get a palindrome (6531636361356).

The spelling of 3220313231133 in words is "three trillion, two hundred twenty billion, three hundred thirteen million, two hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 1409 2521 4227 7563 12681 22689 100733 302199 906597 3552089 10656267 31968801 141932797 253947893 425798391 761843679 1277395173 2285531037 357812581237 1073437743711 3220313231133