Search a number
-
+
331302330020 = 225791311600649
BaseRepresentation
bin1001101001000110010…
…10000101111010100100
31011200011000210011001102
410310203022011322210
520412001344030040
6412110450415232
732635660224614
oct4644312057244
91150130704042
10331302330020
1111856058a132
1254260591518
132531ac6638c
141206c516a44
1589407d8515
hex4d23285ea4

331302330020 has 48 divisors (see below), whose sum is σ = 709920288000. Its totient is φ = 129844565760.

The previous prime is 331302330019. The next prime is 331302330061. The reversal of 331302330020 is 20033203133.

It is a super-2 number, since 2×3313023300202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331302329974 and 331302330001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593345 + ... + 1007304.

It is an arithmetic number, because the mean of its divisors is an integer number (14790006000).

Almost surely, 2331302330020 is an apocalyptic number.

It is an amenable number.

331302330020 is an abundant number, since it is smaller than the sum of its proper divisors (378617957980).

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

331302330020 is a wasteful number, since it uses less digits than its factorization.

331302330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600868 (or 1600866 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 331302330020 its reverse (20033203133), we get a palindrome (351335533153).

The spelling of 331302330020 in words is "three hundred thirty-one billion, three hundred two million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 79 131 158 262 316 395 524 655 790 1310 1580 2620 10349 20698 41396 51745 103490 206980 1600649 3201298 6402596 8003245 16006490 32012980 126451271 209685019 252902542 419370038 505805084 632256355 838740076 1048425095 1264512710 2096850190 2529025420 4193700380 16565116501 33130233002 66260466004 82825582505 165651165010 331302330020