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320902090020 = 223253748183497
BaseRepresentation
bin1001010101101110100…
…00010100110100100100
31010200022012220012212100
410222313100110310210
520224201413340040
6403230445252100
732120152521321
oct4526720246444
91120265805770
10320902090020
11114103955966
1252239564030
1324351382305
1411763169b48
15853271ab30
hex4ab7414d24

320902090020 has 72 divisors (see below), whose sum is σ = 999711216504. Its totient is φ = 83261081088.

The previous prime is 320902090007. The next prime is 320902090039. The reversal of 320902090020 is 20090209023.

It can be written as a sum of positive squares in 4 ways, for example, as 60018140196 + 260883949824 = 244986^2 + 510768^2 .

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 23 ways as a sum of consecutive naturals, for example, 24085089 + ... + 24098408.

It is an arithmetic number, because the mean of its divisors is an integer number (13884878007).

Almost surely, 2320902090020 is an apocalyptic number.

320902090020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320902090020 is an abundant number, since it is smaller than the sum of its proper divisors (678809126484).

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

320902090020 is a wasteful number, since it uses less digits than its factorization.

320902090020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48183549 (or 48183544 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 320902090020 its reverse (20090209023), we get a palindrome (340992299043).

The spelling of 320902090020 in words is "three hundred twenty billion, nine hundred two million, ninety thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 48183497 96366994 144550491 192733988 240917485 289100982 433651473 481834970 578201964 722752455 867302946 963669940 1445504910 1734605892 1782789389 2168257365 2891009820 3565578778 4336514730 5348368167 7131157556 8673029460 8913946945 10696736334 16045104501 17827893890 21393472668 26741840835 32090209002 35655787780 53483681670 64180418004 80225522505 106967363340 160451045010 320902090020