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20320001320 = 2351574018069
BaseRepresentation
bin10010111011001010…
…101001110100101000
31221110010200000112111
4102323022221310220
5313103410020240
613200200052104
71316356106233
oct227312516450
957403600474
1020320001320
118688124823
123b31164034
131bbaa89628
14daa9c441a
157dddcb1ea
hex4bb2a9d28

20320001320 has 64 divisors (see below), whose sum is σ = 46131670800. Its totient is φ = 8055091200.

The previous prime is 20320001311. The next prime is 20320001347. The reversal of 20320001320 is 2310002302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6129950436 + 14190050884 = 78294^2 + 119122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20320001320.

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, 2514246 + ... + 2522314.

Almost surely, 220320001320 is an apocalyptic number.

20320001320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20320001320 is an abundant number, since it is smaller than the sum of its proper divisors (25811669480).

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

20320001320 is a wasteful number, since it uses less digits than its factorization.

20320001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 20320001320 its reverse (2310002302), we get a palindrome (22630003622).

The spelling of 20320001320 in words is "twenty billion, three hundred twenty million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 401 628 785 802 1256 1570 1604 2005 3140 3208 4010 6280 8020 8069 16040 16138 32276 40345 62957 64552 80690 125914 161380 251828 314785 322760 503656 629570 1259140 1266833 2518280 2533666 3235669 5067332 6334165 6471338 10134664 12668330 12942676 16178345 25336660 25885352 32356690 50673320 64713380 129426760 508000033 1016000066 2032000132 2540000165 4064000264 5080000330 10160000660 20320001320