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13033030032 = 24331121671493
BaseRepresentation
bin11000010001101010…
…00100000110010000
31020122021221112011000
430020311010012100
5203142423430112
65553131022000
7640653633051
oct141065040620
936567845130
1013033030032
115588895400
12263889a900
1312c9197bb9
148b8cc6728
155142c87dc
hex308d44190

13033030032 has 240 divisors, whose sum is σ = 41393600640. Its totient is φ = 3923124480.

The previous prime is 13033030009. The next prime is 13033030051. The reversal of 13033030032 is 23003033031.

13033030032 is a `hidden beast` number, since 1 + 3 + 0 + 330 + 300 + 32 = 666.

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 = 13033029987 and 13033030014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8728678 + ... + 8730170.

It is an arithmetic number, because the mean of its divisors is an integer number (172473336).

Almost surely, 213033030032 is an apocalyptic number.

13033030032 is a gapful number since it is divisible by the number (12) 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 13033030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20696800320).

13033030032 is an abundant number, since it is smaller than the sum of its proper divisors (28360570608).

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

13033030032 is a wasteful number, since it uses less digits than its factorization.

13033030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13033030032 its reverse (23003033031), we get a palindrome (36036063063).

The spelling of 13033030032 in words is "thirteen billion, thirty-three million, thirty thousand, thirty-two".