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13313332023030 = 23251346324576493
BaseRepresentation
bin1100000110111100000001…
…1011010000111011110110
31202010202000222222111110100
43001233000123100323312
53221111200444214110
644152021005134530
72542566531013614
oct301570033207366
952122028874410
1013313332023030
114273174938246
1215b0267b5a446
137575988b9540
14340523a406b4
1518149c4cebc0
hexc1bc06d0ef6

13313332023030 has 96 divisors (see below), whose sum is σ = 37357843775616. Its totient is φ = 3270049719552.

The previous prime is 13313332022953. The next prime is 13313332023031. The reversal of 13313332023030 is 3032023331331.

13313332023030 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 33 + 320 + 2 + 303 + 0 = 666.

13313332023030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13313332022985 and 13313332023003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313332023031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11746537 + ... + 12829956.

It is an arithmetic number, because the mean of its divisors is an integer number (389144205996).

Almost surely, 213313332023030 is an apocalyptic number.

13313332023030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13313332023030 is an abundant number, since it is smaller than the sum of its proper divisors (24044511752586).

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

13313332023030 is a wasteful number, since it uses less digits than its factorization.

13313332023030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576982 (or 24576979 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13313332023030 its reverse (3032023331331), we get a palindrome (16345355354361).

The spelling of 13313332023030 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-two million, twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 463 585 926 1170 1389 2315 2778 4167 4630 6019 6945 8334 12038 13890 18057 20835 30095 36114 41670 54171 60190 90285 108342 180570 270855 541710 24576493 49152986 73729479 122882465 147458958 221188437 245764930 319494409 368647395 442376874 638988818 737294790 958483227 1105942185 1597472045 1916966454 2211884370 2875449681 3194944090 4792416135 5750899362 9584832270 11378916259 14377248405 22757832518 28754496810 34136748777 56894581295 68273497554 102410246331 113789162590 147925911367 170683743885 204820492662 295851822734 341367487770 443777734101 512051231655 739629556835 887555468202 1024102463310 1331333202303 1479259113670 2218888670505 2662666404606 4437777341010 6656666011515 13313332023030