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13301012031120 = 243251129306118919
BaseRepresentation
bin1100000110001110001000…
…0110001110011010010000
31202002120020101202001201200
43001203202012032122100
53220410433034443440
644142222305031200
72541652322554062
oct301434206163220
952076211661650
1013301012031120
114268a22597a50
1215a99aa025500
137563843773b8
1433dab5727732
15180ecab01c30
hexc18e218e690

13301012031120 has 480 divisors, whose sum is σ = 50429552659200. Its totient is φ = 3112116940800.

The previous prime is 13301012031101. The next prime is 13301012031121. The reversal of 13301012031120 is 2113021010331.

13301012031120 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 1 + 2 + 0 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13301012031093 and 13301012031102.

It is not an unprimeable number, because it can be changed into a prime (13301012031121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 703041021 + ... + 703059939.

It is an arithmetic number, because the mean of its divisors is an integer number (105061568040).

Almost surely, 213301012031120 is an apocalyptic number.

13301012031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301012031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25214776329600).

13301012031120 is an abundant number, since it is smaller than the sum of its proper divisors (37128540628080).

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

13301012031120 is a wasteful number, since it uses less digits than its factorization.

13301012031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22039 (or 22030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13301012031120 its reverse (2113021010331), we get a palindrome (15414033041451).

The spelling of 13301012031120 in words is "thirteen trillion, three hundred one billion, twelve million, thirty-one thousand, one hundred twenty".