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13300023201120 = 25325233193320507
BaseRepresentation
bin1100000110001010011100…
…1010001000110101100000
31202002110200111002021222100
43001202213022020311200
53220401421414413440
644141540223010400
72541615654624555
oct301424712106540
952073614067870
1013300023201120
114268565403377
1215a9772a39a00
1375625754b4a6
1433da20286a2c
15180e6ddca230
hexc18a7288d60

13300023201120 has 288 divisors, whose sum is σ = 45606924653472. Its totient is φ = 3529452036096.

The previous prime is 13300023201089. The next prime is 13300023201173. The reversal of 13300023201120 is 2110232000331.

13300023201120 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 2 + 320 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 13300023201093 and 13300023201102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 648549907 + ... + 648570413.

It is an arithmetic number, because the mean of its divisors is an integer number (158357377269).

Almost surely, 213300023201120 is an apocalyptic number.

13300023201120 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 13300023201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22803462326736).

13300023201120 is an abundant number, since it is smaller than the sum of its proper divisors (32306901452352).

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

13300023201120 is a wasteful number, since it uses less digits than its factorization.

13300023201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22694 (or 22683 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13300023201120 its reverse (2110232000331), we get a palindrome (15410255201451).

The spelling of 13300023201120 in words is "thirteen trillion, three hundred billion, twenty-three million, two hundred one thousand, one hundred twenty".