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13300324013400 = 23352106120892749
BaseRepresentation
bin1100000110001011100100…
…0101101001010101011000
31202002111110110010010211220
43001202321011221111120
53220403030421412100
644142030130252040
72541626266526364
oct301427105512530
952074413103756
1013300324013400
1142686aa192066
1215a9837727020
137562a4971c18
1433da4c1cc2a4
15180e8a4e9aa0
hexc18b9169558

13300324013400 has 96 divisors (see below), whose sum is σ = 41269866930000. Its totient is φ = 3543410060800.

The previous prime is 13300324013393. The next prime is 13300324013477. The reversal of 13300324013400 is 431042300331.

It is a super-2 number, since 2×133003240134002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9809775 + ... + 11082974.

Almost surely, 213300324013400 is an apocalyptic number.

13300324013400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300324013400 is an abundant number, since it is smaller than the sum of its proper divisors (27969542916600).

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

13300324013400 is a wasteful number, since it uses less digits than its factorization.

13300324013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20893829 (or 20893820 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13300324013400 its reverse (431042300331), we get a palindrome (13731366313731).

The spelling of 13300324013400 in words is "thirteen trillion, three hundred billion, three hundred twenty-four million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1061 2122 3183 4244 5305 6366 8488 10610 12732 15915 21220 25464 26525 31830 42440 53050 63660 79575 106100 127320 159150 212200 318300 636600 20892749 41785498 62678247 83570996 104463745 125356494 167141992 208927490 250712988 313391235 417854980 501425976 522318725 626782470 835709960 1044637450 1253564940 1566956175 2089274900 2507129880 3133912350 4178549800 6267824700 12535649400 22167206689 44334413378 66501620067 88668826756 110836033445 133003240134 177337653512 221672066890 266006480268 332508100335 443344133780 532012960536 554180167225 665016200670 886688267560 1108360334450 1330032401340 1662540501675 2216720668900 2660064802680 3325081003350 4433441337800 6650162006700 13300324013400