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13133123224000 = 265313126280031
BaseRepresentation
bin1011111100011100101100…
…1001010000000111000000
31201111111212221022222210021
42333013023021100013000
53210133114021132000
643533135025143224
72523560015341153
oct277071311200700
951444787288707
1013133123224000
1142037a975328a
12158135448ab14
137435a9929990
1433590a211c9a
1517b9517d011a
hexbf1cb2501c0

13133123224000 has 112 divisors (see below), whose sum is σ = 35026039915776. Its totient is φ = 4849153152000.

The previous prime is 13133123223959. The next prime is 13133123224019. The reversal of 13133123224000 is 42232133131.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 63036016 + ... + 63244015.

It is an arithmetic number, because the mean of its divisors is an integer number (312732499248).

Almost surely, 213133123224000 is an apocalyptic number.

13133123224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133123224000 is an abundant number, since it is smaller than the sum of its proper divisors (21892916691776).

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

13133123224000 is a wasteful number, since it uses less digits than its factorization.

13133123224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126280071 (or 126280051 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13133123224000 its reverse (42232133131), we get a palindrome (13175355357131).

The spelling of 13133123224000 in words is "thirteen trillion, one hundred thirty-three billion, one hundred twenty-three million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 126280031 252560062 505120124 631400155 1010240248 1262800310 1641640403 2020480496 2525600620 3157000775 3283280806 4040960992 5051201240 6314001550 6566561612 8081921984 8208202015 10102402480 12628003100 13133123224 15785003875 16416404030 20204804960 25256006200 26266246448 31570007750 32832808060 40409609920 41041010075 50512012400 52532492896 63140015500 65665616120 82082020150 101024024800 105064985792 126280031000 131331232240 164164040300 202048049600 205205050375 252560062000 262662464480 328328080600 410410100750 505120124000 525324928960 656656161200 820820201500 1010240248000 1313312322400 1641640403000 2626624644800 3283280806000 6566561612000 13133123224000