Base | Representation |
---|---|
bin | 11101001000110100010… |
… | …010011100111100100000 |
3 | 21002102100221221100110202 |
4 | 131020310102130330200 |
5 | 230301233443343240 |
6 | 4131505244044332 |
7 | 264443440165553 |
oct | 35106422347440 |
9 | 7072327840422 |
10 | 2002332012320 |
11 | 7022032471a2 |
12 | 284094b336a8 |
13 | 116a85737413 |
14 | 6ccb049269a |
15 | 37142ac4315 |
hex | 1d23449cf20 |
2002332012320 has 48 divisors (see below), whose sum is σ = 4730705772408. Its totient is φ = 800899553280.
The previous prime is 2002332012313. The next prime is 2002332012361. The reversal of 2002332012320 is 232102332002.
It can be written as a sum of positive squares in 4 ways, for example, as 1741206924304 + 261125088016 = 1319548^2 + 511004^2 .
It is a super-2 number, since 2×20023320123202 (a number of 25 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 = 2002332012292 and 2002332012301.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3804242 + ... + 4298478.
Almost surely, 22002332012320 is an apocalyptic number.
2002332012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2002332012320 is an abundant number, since it is smaller than the sum of its proper divisors (2728373760088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002332012320 is a wasteful number, since it uses less digits than its factorization.
2002332012320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 519573 (or 519565 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
Adding to 2002332012320 its reverse (232102332002), we get a palindrome (2234434344322).
The spelling of 2002332012320 in words is "two trillion, two billion, three hundred thirty-two million, twelve thousand, three hundred twenty".
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