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11321031320320 = 285311032769983
BaseRepresentation
bin1010010010111110001000…
…0011001110001100000000
31111002021120010201110211011
42210233202003032030000
52440440433004222240
640024450542530304
72245626465321451
oct244574203161400
944067503643734
1011321031320320
11367524a050477
12132a112596994
136417514b26a7
142b1d25941128
151497454006ea
hexa4be20ce300

11321031320320 has 144 divisors (see below), whose sum is σ = 28263941701632. Its totient is φ = 4339786199040.

The previous prime is 11321031320299. The next prime is 11321031320341. The reversal of 11321031320320 is 2302313012311.

It is an interprime number because it is at equal distance from previous prime (11321031320299) and next prime (11321031320341).

It is a junction number, because it is equal to n+sod(n) for n = 11321031320291 and 11321031320300.

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, 2702049 + ... + 5472031.

It is an arithmetic number, because the mean of its divisors is an integer number (196277372928).

Almost surely, 211321031320320 is an apocalyptic number.

11321031320320 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 11321031320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131970850816).

11321031320320 is an abundant number, since it is smaller than the sum of its proper divisors (16942910381312).

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

11321031320320 is a wasteful number, since it uses less digits than its factorization.

11321031320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770138 (or 2770124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11321031320320 its reverse (2302313012311), we get a palindrome (13623344332631).

The spelling of 11321031320320 in words is "eleven trillion, three hundred twenty-one billion, thirty-one million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 103 124 128 155 160 206 248 256 310 320 412 496 515 620 640 824 992 1030 1240 1280 1648 1984 2060 2480 3193 3296 3968 4120 4960 6386 6592 7936 8240 9920 12772 13184 15965 16480 19840 25544 26368 31930 32960 39680 51088 63860 65920 102176 127720 131840 204352 255440 408704 510880 817408 1021760 2043520 2769983 4087040 5539966 11079932 13849915 22159864 27699830 44319728 55399660 85869473 88639456 110799320 171738946 177278912 221598640 285308249 343477892 354557824 429347365 443197280 570616498 686955784 709115648 858694730 886394560 1141232996 1373911568 1426541245 1717389460 1772789120 2282465992 2747823136 2853082490 3434778920 3545578240 4564931984 5495646272 5706164980 6869557840 8844555719 9129863968 10991292544 11412329960 13739115680 17689111438 18259727936 21982585088 22824659920 27478231360 35378222876 36519455872 44222778595 45649319840 54956462720 70756445752 73038911744 88445557190 91298639680 109912925440 141512891504 176891114380 182597279360 283025783008 353782228760 365194558720 566051566016 707564457520 1132103132032 1415128915040 2264206264064 2830257830080 5660515660160 11321031320320