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320422313000 = 23531372338849
BaseRepresentation
bin1001010100110101010…
…10000111110000101000
31010122001210010000112002
410222122222013300220
520222211103004000
6403111110110132
732102235502436
oct4523252076050
91118053100462
10320422313000
11113988051329
125212494b348
13242a5b5ac9a
1411719559d56
1585055498d5
hex4a9aa87c28

320422313000 has 64 divisors (see below), whose sum is σ = 755261442000. Its totient is φ = 127233331200.

The previous prime is 320422312979. The next prime is 320422313011. The reversal of 320422313000 is 313224023.

It can be written as a sum of positive squares in 8 ways, for example, as 172712164 + 320249600836 = 13142^2 + 565906^2 .

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

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, 1032425 + ... + 1306424.

Almost surely, 2320422313000 is an apocalyptic number.

It is an amenable number.

320422313000 is an abundant number, since it is smaller than the sum of its proper divisors (434839129000).

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

320422313000 is a wasteful number, since it uses less digits than its factorization.

320422313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339007 (or 2338993 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 320422313000 its reverse (313224023), we get a palindrome (320735537023).

The spelling of 320422313000 in words is "three hundred twenty billion, four hundred twenty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 3425 5480 6850 13700 17125 27400 34250 68500 137000 2338849 4677698 9355396 11694245 18710792 23388490 46776980 58471225 93553960 116942450 233884900 292356125 320422313 467769800 584712250 640844626 1169424500 1281689252 1602111565 2338849000 2563378504 3204223130 6408446260 8010557825 12816892520 16021115650 32042231300 40052789125 64084462600 80105578250 160211156500 320422313000