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13023331023330 = 23251726332364947
BaseRepresentation
bin1011110110000011101100…
…0001001111100111100010
31201010000111022221022111200
42331200323001033213202
53201333240220221310
643410500301222030
72512622166130515
oct275407301174742
951100438838450
1013023331023330
114171188932961
121564013261916
137361304b8074
14330492880d7c
15178b77a829c0
hexbd83b04f9e2

13023331023330 has 96 divisors (see below), whose sum is σ = 35988786497664. Its totient is φ = 3256172487168.

The previous prime is 13023331023301. The next prime is 13023331023349. The reversal of 13023331023330 is 3332013332031.

13023331023330 is a `hidden beast` number, since 1 + 302 + 3 + 3 + 3 + 1 + 0 + 23 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13023331023294 and 13023331023303.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15780084 + ... + 16584863.

It is an arithmetic number, because the mean of its divisors is an integer number (374883192684).

Almost surely, 213023331023330 is an apocalyptic number.

13023331023330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13023331023330 is an abundant number, since it is smaller than the sum of its proper divisors (22965455474334).

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

13023331023330 is a wasteful number, since it uses less digits than its factorization.

13023331023330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32365240 (or 32365237 counting only the distinct ones).

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

Adding to 13023331023330 its reverse (3332013332031), we get a palindrome (16355344355361).

The spelling of 13023331023330 in words is "thirteen trillion, twenty-three billion, three hundred thirty-one million, twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 263 306 510 526 765 789 1315 1530 1578 2367 2630 3945 4471 4734 7890 8942 11835 13413 22355 23670 26826 40239 44710 67065 80478 134130 201195 402390 32364947 64729894 97094841 161824735 194189682 291284523 323649470 485474205 550204099 582569046 970948410 1100408198 1456422615 1650612297 2751020495 2912845230 3301224594 4951836891 5502040990 8253061485 8511981061 9903673782 16506122970 17023962122 24759184455 25535943183 42559905305 49518368910 51071886366 76607829549 85119810610 127679715915 144703678037 153215659098 255359431830 289407356074 383039147745 434111034111 723518390185 766078295490 868222068222 1302333102333 1447036780370 2170555170555 2604666204666 4341110341110 6511665511665 13023331023330