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3133320120 = 2332577915739
BaseRepresentation
bin1011101011000010…
…1010101110111000
322002100220011011100
42322300222232320
522404112220440
61234525531400
7140434532040
oct27260525670
98070804140
103133320120
11136874a867
12735413b60
133ac1c3298
1421a1cc720
1513512b230
hexbac2abb8

3133320120 has 192 divisors, whose sum is σ = 11786112000. Its totient is φ = 707076864.

The previous prime is 3133320103. The next prime is 3133320131. The reversal of 3133320120 is 210233313.

3133320120 is a `hidden beast` number, since 313 + 332 + 0 + 1 + 20 = 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 = 3133320093 and 3133320102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191211 + ... + 206949.

It is an arithmetic number, because the mean of its divisors is an integer number (61386000).

Almost surely, 23133320120 is an apocalyptic number.

3133320120 is a gapful number since it is divisible by the number (30) 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 3133320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893056000).

3133320120 is an abundant number, since it is smaller than the sum of its proper divisors (8652791880).

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

3133320120 is a wasteful number, since it uses less digits than its factorization.

3133320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842 (or 15835 counting only the distinct ones).

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

The square root of 3133320120 is about 55976.0673859820. The cubic root of 3133320120 is about 1463.3052221509.

Adding to 3133320120 its reverse (210233313), we get a palindrome (3343553433).

The spelling of 3133320120 in words is "three billion, one hundred thirty-three million, three hundred twenty thousand, one hundred twenty".