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13324000324400 = 2452712411946701
BaseRepresentation
bin1100000111100011110001…
…0011100110101100110000
31202011202120111021100201022
43001320330103212230300
53221300023040340100
644200543343555012
72543425102045223
oct301707423465460
952152514240638
1013324000324400
114277749910a37
1215b23448bba68
137585a8b97bbc
14340c568495ba
151818c3d9ce85
hexc1e3c4e6b30

13324000324400 has 120 divisors (see below), whose sum is σ = 32596481557728. Its totient is φ = 5232729600000.

The previous prime is 13324000324399. The next prime is 13324000324417. The reversal of 13324000324400 is 442300042331.

It is a super-2 number, since 2×133240003244002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13324000324400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5871050 + ... + 7817750.

Almost surely, 213324000324400 is an apocalyptic number.

13324000324400 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 13324000324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298240778864).

13324000324400 is an abundant number, since it is smaller than the sum of its proper divisors (19272481233328).

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

13324000324400 is a wasteful number, since it uses less digits than its factorization.

13324000324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947031 (or 1947020 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 13324000324400 its reverse (442300042331), we get a palindrome (13766300366731).

The spelling of 13324000324400 in words is "thirteen trillion, three hundred twenty-four billion, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 241 284 355 400 482 568 710 964 1136 1205 1420 1775 1928 2410 2840 3550 3856 4820 5680 6025 7100 9640 12050 14200 17111 19280 24100 28400 34222 48200 68444 85555 96400 136888 171110 273776 342220 427775 684440 855550 1368880 1711100 1946701 3422200 3893402 6844400 7786804 9733505 15573608 19467010 31147216 38934020 48667525 77868040 97335050 138215771 155736080 194670100 276431542 389340200 469154941 552863084 691078855 778680400 938309882 1105726168 1382157710 1876619764 2211452336 2345774705 2764315420 3455394275 3753239528 4691549410 5528630840 6910788550 7506479056 9383098820 11057261680 11728873525 13821577100 18766197640 23457747050 27643154200 33310000811 37532395280 46915494100 55286308400 66620001622 93830988200 133240003244 166550004055 187661976400 266480006488 333100008110 532960012976 666200016220 832750020275 1332400032440 1665500040550 2664800064880 3331000081100 6662000162200 13324000324400