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3133303131 = 37532815187
BaseRepresentation
bin1011101011000010…
…0110100101011011
322002100212021212010
42322300212211123
522404111200011
61234525321003
7140434431360
oct27260464533
98070767763
103133303131
111368739022
12735406163
133ac1b862a
1421a1c6467
151351261a6
hexbac2695b

3133303131 has 16 divisors (see below), whose sum is σ = 4864644864. Its totient is φ = 1756676064.

The previous prime is 3133303067. The next prime is 3133303139. The reversal of 3133303131 is 1313033313.

It is not a de Polignac number, because 3133303131 - 26 = 3133303067 is a prime.

It is a super-2 number, since 2×31333031312 = 19635177021468806322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3133303098 and 3133303107.

It is not an unprimeable number, because it can be changed into a prime (3133303139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1406481 + ... + 1408706.

It is an arithmetic number, because the mean of its divisors is an integer number (304040304).

Almost surely, 23133303131 is an apocalyptic number.

3133303131 is a deficient number, since it is larger than the sum of its proper divisors (1731341733).

3133303131 is a wasteful number, since it uses less digits than its factorization.

3133303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815250.

The product of its (nonzero) digits is 729, while the sum is 21.

The square root of 3133303131 is about 55975.9156334222. The cubic root of 3133303131 is about 1463.3025774443.

Adding to 3133303131 its reverse (1313033313), we get a palindrome (4446336444).

The spelling of 3133303131 in words is "three billion, one hundred thirty-three million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 7 21 53 159 371 1113 2815187 8445561 19706309 59118927 149204911 447614733 1044434377 3133303131