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331302113332020 = 2232510662117262709
BaseRepresentation
bin100101101010100010100100…
…0110001110100101100110100
31121110001011122220121012002200
41023111011020301310230310
5321411023212003111040
63132342031215104500
7126532534133652555
oct11325051061645464
91543034586535080
10331302113332020
1196621489a47356
12311a869b512130
13112b28697166cc
145bb5171cc832c
152847ddcd5a630
hex12d5148c74b34

331302113332020 has 72 divisors (see below), whose sum is σ = 1004959227428520. Its totient is φ = 88346396494080.

The previous prime is 331302113331737. The next prime is 331302113332051. The reversal of 331302113332020 is 20233311203133.

331302113332020 is a `hidden beast` number, since 3 + 3 + 1 + 302 + 1 + 1 + 3 + 332 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13284013036176 + 318018100295844 = 3644724^2 + 17833062^2 .

It is a super-2 number, since 2×3313021133320202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10560426 + ... + 27823134.

Almost surely, 2331302113332020 is an apocalyptic number.

331302113332020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331302113332020 is an abundant number, since it is smaller than the sum of its proper divisors (673657114096500).

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

331302113332020 is a wasteful number, since it uses less digits than its factorization.

331302113332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17369345 (or 17369340 counting only the distinct ones).

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

Adding to 331302113332020 its reverse (20233311203133), we get a palindrome (351535424535153).

The spelling of 331302113332020 in words is "three hundred thirty-one trillion, three hundred two billion, one hundred thirteen million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 106621 213242 319863 426484 533105 639726 959589 1066210 1279452 1599315 1919178 2132420 3198630 3838356 4797945 6397260 9595890 17262709 19191780 34525418 51788127 69050836 86313545 103576254 155364381 172627090 207152508 258940635 310728762 345254180 517881270 621457524 776821905 1035762540 1553643810 3107287620 1840567296289 3681134592578 5521701888867 7362269185156 9202836481445 11043403777734 16565105666601 18405672962890 22086807555468 27608509444335 33130211333202 36811345925780 55217018888670 66260422666404 82825528333005 110434037777340 165651056666010 331302113332020