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1331003032320 = 28351326662721
BaseRepresentation
bin10011010111100101111…
…101101000001100000000
311201020112220000200021110
4103113211331220030000
5133301343234013240
62455242050123320
7165106332050613
oct23274575501400
94636486020243
101331003032320
11473525570255
12195b5a280540
139868921b990
14485c6cd017a
1524950b2dc80
hex135e5f68300

1331003032320 has 144 divisors (see below), whose sum is σ = 4577882716512. Its totient is φ = 327631503360.

The previous prime is 1331003032309. The next prime is 1331003032343. The reversal of 1331003032320 is 232303001331.

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 15 ways as a sum of consecutive naturals, for example, 13281441 + ... + 13381280.

It is an arithmetic number, because the mean of its divisors is an integer number (31790852198).

Almost surely, 21331003032320 is an apocalyptic number.

1331003032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331003032320 is an abundant number, since it is smaller than the sum of its proper divisors (3246879684192).

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

1331003032320 is a wasteful number, since it uses less digits than its factorization.

1331003032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26662758 (or 26662744 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1331003032320 its reverse (232303001331), we get a palindrome (1563306033651).

The spelling of 1331003032320 in words is "one trillion, three hundred thirty-one billion, three million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 26662721 53325442 79988163 106650884 133313605 159976326 213301768 266627210 319952652 346615373 399940815 426603536 533254420 639905304 693230746 799881630 853207072 1039846119 1066508840 1279810608 1386461492 1599763260 1706414144 1733076865 2079692238 2133017680 2559621216 2772922984 3199526520 3412828288 3466153730 4159384476 4266035360 5119242432 5199230595 5545845968 6399053040 6825656576 6932307460 8318768952 8532070720 10238484864 10398461190 11091691936 12798106080 13864614920 16637537904 17064141440 20476969728 20796922380 22183383872 25596212160 27729229840 33275075808 34128282880 41593844760 44366767744 51192424320 55458459680 66550151616 83187689520 88733535488 102384848640 110916919360 133100303232 166375379040 221833838720 266200606464 332750758080 443667677440 665501516160 1331003032320