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13003300120320 = 283351453258949
BaseRepresentation
bin1011110100111001000100…
…0101011010011100000000
31201001002210100021000022000
42331032101011122130000
53201021224312322240
643353344505344000
72511312620224416
oct275162105323400
951032710230260
1013003300120320
114163739a16a64
121560162a98000
1373428a5b0433
1432d5124332b6
151783a4260430
hexbd39115a700

13003300120320 has 288 divisors, whose sum is σ = 46175591112000. Its totient is φ = 3465146843136.

The previous prime is 13003300120313. The next prime is 13003300120333. The reversal of 13003300120320 is 2302100330031.

13003300120320 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 330 + 0 + 12 + 0 + 320 = 666.

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

It is a super-2 number, since 2×130033001203202 (a number of 27 digits) contains 22 as substring.

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 = 13003300120293 and 13003300120302.

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 31 ways as a sum of consecutive naturals, for example, 50086206 + ... + 50345154.

Almost surely, 213003300120320 is an apocalyptic number.

13003300120320 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 13003300120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087795556000).

13003300120320 is an abundant number, since it is smaller than the sum of its proper divisors (33172290991680).

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

13003300120320 is a wasteful number, since it uses less digits than its factorization.

13003300120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260432 (or 260412 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13003300120320 its reverse (2302100330031), we get a palindrome (15305400450351).

The spelling of 13003300120320 in words is "thirteen trillion, three billion, three hundred million, one hundred twenty thousand, three hundred twenty".