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13032120301200 = 2432527211133713963
BaseRepresentation
bin1011110110100100011011…
…1001101011011010010000
31201010212011212111220002200
42331221012321223122100
53202004240244114300
643414512354043200
72513353042556400
oct275510671533220
951125155456080
1013032120301200
114174989188470
121565866879500
13736c013c88c0
14330a87cc2800
15178ede4d8200
hexbda46e6b690

13032120301200 has 2160 divisors, whose sum is σ = 63481081075776. Its totient is φ = 2431934668800.

The previous prime is 13032120301181. The next prime is 13032120301241. The reversal of 13032120301200 is 210302123031.

13032120301200 is a `hidden beast` number, since 1 + 3 + 0 + 321 + 20 + 301 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 933325419 + ... + 933339381.

Almost surely, 213032120301200 is an apocalyptic number.

13032120301200 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 13032120301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31740540537888).

13032120301200 is an abundant number, since it is smaller than the sum of its proper divisors (50448960774576).

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

13032120301200 is a wasteful number, since it uses less digits than its factorization.

13032120301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14062 (or 14041 counting only the distinct ones).

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

Adding to 13032120301200 its reverse (210302123031), we get a palindrome (13242422424231).

The spelling of 13032120301200 in words is "thirteen trillion, thirty-two billion, one hundred twenty million, three hundred one thousand, two hundred".