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331132320020 = 22516556616001
BaseRepresentation
bin1001101000110010000…
…01100011100100010100
31011122201011212202011202
410310121001203210110
520411124333220040
6412041534452032
732631524164625
oct4643101434424
91148634782152
10331132320020
111184836200a7
1254213664018
13252c197c648
1412053adda4c
158930905015
hex4d19063914

331132320020 has 12 divisors (see below), whose sum is σ = 695377872084. Its totient is φ = 132452928000.

The previous prime is 331132319963. The next prime is 331132320023. The reversal of 331132320020 is 20023231133.

It can be written as a sum of positive squares in 2 ways, for example, as 59964255376 + 271168064644 = 244876^2 + 520738^2 .

It is a super-2 number, since 2×3311323200202 (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), and also a Moran number because the ratio is a prime number: 16556616001 = 331132320020 / (3 + 3 + 1 + 1 + 3 + 2 + 3 + 2 + 0 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 331132319974 and 331132320001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132320023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8278307981 + ... + 8278308020.

It is an arithmetic number, because the mean of its divisors is an integer number (57948156007).

Almost surely, 2331132320020 is an apocalyptic number.

It is an amenable number.

331132320020 is an abundant number, since it is smaller than the sum of its proper divisors (364245552064).

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

331132320020 is a wasteful number, since it uses less digits than its factorization.

331132320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16556616010 (or 16556616008 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331132320020 its reverse (20023231133), we get a palindrome (351155551153).

The spelling of 331132320020 in words is "three hundred thirty-one billion, one hundred thirty-two million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 16556616001 33113232002 66226464004 82783080005 165566160010 331132320020