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13300277328 = 24331341471229
BaseRepresentation
bin11000110001100001…
…00010000001010000
31021022220211002112000
430120300202001100
5204214332333303
610035435034000
7650410330512
oct143060420120
937286732460
1013300277328
115705729238
1226b229b900
13133c668ab0
149025b1bb2
1552c9b7da3
hex318c22050

13300277328 has 320 divisors, whose sum is σ = 43047244800. Its totient is φ = 3904450560.

The previous prime is 13300277327. The next prime is 13300277329. The reversal of 13300277328 is 82377200331.

13300277328 is a `hidden beast` number, since 1 + 3 + 300 + 27 + 7 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (13300277327) and next prime (13300277329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13300277292 and 13300277301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300277323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10821418 + ... + 10822646.

It is an arithmetic number, because the mean of its divisors is an integer number (134522640).

Almost surely, 213300277328 is an apocalyptic number.

13300277328 is a gapful number since it is divisible by the number (18) 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 13300277328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523622400).

13300277328 is an abundant number, since it is smaller than the sum of its proper divisors (29746967472).

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

13300277328 is a wasteful number, since it uses less digits than its factorization.

13300277328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 13300277328 its reverse (82377200331), we get a palindrome (95677477659).

The spelling of 13300277328 in words is "thirteen billion, three hundred million, two hundred seventy-seven thousand, three hundred twenty-eight".