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13032123033120 = 2535101307875617
BaseRepresentation
bin1011110110100100011100…
…0100000110011000100000
31201010212012001122200120220
42331221013010012120200
53202004241444024440
643414512532403040
72513353105025232
oct275510704063040
951125161580526
1013032123033120
11417498a783a54
121565867776480
13736c01b44219
14330a883d4252
15178ede8778d0
hexbda47106620

13032123033120 has 192 divisors, whose sum is σ = 41592723613056. Its totient is φ = 3429612748800.

The previous prime is 13032123033103. The next prime is 13032123033191. The reversal of 13032123033120 is 2133032123031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14445552 + ... + 15321168.

It is an arithmetic number, because the mean of its divisors is an integer number (216628768818).

Almost surely, 213032123033120 is an apocalyptic number.

13032123033120 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 13032123033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796361806528).

13032123033120 is an abundant number, since it is smaller than the sum of its proper divisors (28560600579936).

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

13032123033120 is a wasteful number, since it uses less digits than its factorization.

13032123033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876043 (or 876035 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13032123033120 its reverse (2133032123031), we get a palindrome (15165155156151).

The spelling of 13032123033120 in words is "thirteen trillion, thirty-two billion, one hundred twenty-three million, thirty-three thousand, one hundred twenty".