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1320223302340 = 2252915720876947
BaseRepresentation
bin10011001101100011011…
…100001110001011000100
311200012201122001122200221
4103031203130032023010
5133112304131133330
62450300251114124
7164245235624455
oct23154334161304
94605648048627
101320223302340
114699a36aa5a8
12193a50142944
139765bb27927
1447c8339b12c
152451e59eb7a
hex1336370e2c4

1320223302340 has 96 divisors (see below), whose sum is σ = 2888137969920. Its totient is φ = 506316056064.

The previous prime is 1320223302331. The next prime is 1320223302383. The reversal of 1320223302340 is 432033220231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190038747 + ... + 190045693.

It is an arithmetic number, because the mean of its divisors is an integer number (30084770520).

Almost surely, 21320223302340 is an apocalyptic number.

1320223302340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320223302340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444068984960).

1320223302340 is an abundant number, since it is smaller than the sum of its proper divisors (1567914667580).

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

1320223302340 is a wasteful number, since it uses less digits than its factorization.

1320223302340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 1320223302340 its reverse (432033220231), we get a palindrome (1752256522571).

The spelling of 1320223302340 in words is "one trillion, three hundred twenty billion, two hundred twenty-three million, three hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 157 290 314 580 628 785 1570 2087 3140 4174 4553 6947 8348 9106 10435 13894 18212 20870 22765 27788 34735 41740 45530 60523 69470 91060 121046 138940 201463 242092 302615 327659 402926 605230 655318 805852 1007315 1090679 1210460 1310636 1638295 2014630 2181358 3276590 4029260 4362716 5453395 6553180 9502111 10906790 14498389 19004222 21813580 28996778 31629691 38008444 47510555 57993556 63259382 72491945 95021110 126518764 144983890 158148455 190042220 289967780 316296910 420453281 632593820 840906562 1681813124 2102266405 2276247073 4204532810 4552494146 8409065620 9104988292 11381235365 22762470730 45524941460 66011165117 132022330234 264044660468 330055825585 660111651170 1320223302340