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13312423516029 = 31117731073037999
BaseRepresentation
bin1100000110111000101001…
…0001100101011101111101
31202010122200200110120010220
43001232022101211131331
53221102320410003104
644151350512451553
72542535156564301
oct301561221453575
952118620416126
1013312423516029
114272849025510
1215b0053849bb9
13757482604a31
1434047910bd01
151814478727d9
hexc1b8a46577d

13312423516029 has 64 divisors (see below), whose sum is σ = 20977657344000. Its totient is φ = 7419520235520.

The previous prime is 13312423515983. The next prime is 13312423516087. The reversal of 13312423516029 is 92061532421331.

It is not a de Polignac number, because 13312423516029 - 217 = 13312423384957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312423516729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2862972 + ... + 5900970.

It is an arithmetic number, because the mean of its divisors is an integer number (327775896000).

Almost surely, 213312423516029 is an apocalyptic number.

It is an amenable number.

13312423516029 is a deficient number, since it is larger than the sum of its proper divisors (7665233827971).

13312423516029 is a wasteful number, since it uses less digits than its factorization.

13312423516029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038210.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13312423516029 in words is "thirteen trillion, three hundred twelve billion, four hundred twenty-three million, five hundred sixteen thousand, twenty-nine".

Divisors: 1 3 11 17 33 51 73 107 187 219 321 561 803 1177 1241 1819 2409 3531 3723 5457 7811 13651 20009 23433 40953 60027 85921 132787 257763 398361 1460657 3037999 4381971 9113997 33417989 51645983 100253967 154937949 221773927 325065893 568105813 665321781 975197679 1704317439 2439513197 3575724823 3770156759 5526120181 7318539591 10727174469 11310470277 16578360543 23729810189 41471724349 60787321991 71189430567 124415173047 182361965973 261027912079 403406773213 783083736237 1210220319639 4437474505343 13312423516029