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13320322131000 = 2335331911391447
BaseRepresentation
bin1100000111010110000100…
…0100011010010000111000
31202011102002011002202221010
43001311201010122100320
53221220004431143000
644155134351313520
72543234666653263
oct301654104322070
952142064082833
1013320322131000
114276131645885
1215b1698b1b8a0
13758140b3aac1
143409c8143cda
1518175aee2d50
hexc1d6111a438

13320322131000 has 128 divisors (see below), whose sum is σ = 41572458869760. Its totient is φ = 3550970192000.

The previous prime is 13320322130959. The next prime is 13320322131019. The reversal of 13320322131000 is 13122302331.

It is a super-2 number, since 2×133203221310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8877277 + ... + 10268723.

It is an arithmetic number, because the mean of its divisors is an integer number (324784834920).

Almost surely, 213320322131000 is an apocalyptic number.

13320322131000 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 13320322131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20786229434880).

13320322131000 is an abundant number, since it is smaller than the sum of its proper divisors (28252136738760).

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

13320322131000 is a wasteful number, since it uses less digits than its factorization.

13320322131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394662 (or 1394648 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13320322131000 its reverse (13122302331), we get a palindrome (13333444433331).

The spelling of 13320322131000 in words is "thirteen trillion, three hundred twenty billion, three hundred twenty-two million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3191 6382 9573 12764 15955 19146 25528 31910 38292 47865 63820 76584 79775 95730 127640 159550 191460 239325 319100 382920 398875 478650 638200 797750 957300 1196625 1391447 1595500 1914600 2393250 2782894 3191000 4174341 4786500 5565788 6957235 8348682 9573000 11131576 13914470 16697364 20871705 27828940 33394728 34786175 41743410 55657880 69572350 83486820 104358525 139144700 166973640 173930875 208717050 278289400 347861750 417434100 521792625 695723500 834868200 1043585250 1391447000 2087170500 4174341000 4440107377 8880214754 13320322131 17760429508 22200536885 26640644262 35520859016 44401073770 53281288524 66601610655 88802147540 106562577048 111002684425 133203221310 177604295080 222005368850 266406442620 333008053275 444010737700 532812885240 555013422125 666016106550 888021475400 1110026844250 1332032213100 1665040266375 2220053688500 2664064426200 3330080532750 4440107377000 6660161065500 13320322131000