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3133432031 = 97113285871
BaseRepresentation
bin1011101011000100…
…0110000011011111
322002101002211200012
42322301012003133
522404124311111
61234532153435
7140435506232
oct27261060337
98071084605
103133432031
111368816954
1273546887b
133ac2321c2
1421a21b419
1513514e48b
hexbac460df

3133432031 has 8 divisors (see below), whose sum is σ = 3193761984. Its totient is φ = 3073674240.

The previous prime is 3133432009. The next prime is 3133432051. The reversal of 3133432031 is 1302343313.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3133432031 is a prime.

It is a super-3 number, since 3×31334320313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3133431988 and 3133432006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133432051) 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 7 ways as a sum of consecutive naturals, for example, 131975 + ... + 153896.

It is an arithmetic number, because the mean of its divisors is an integer number (399220248).

Almost surely, 23133432031 is an apocalyptic number.

3133432031 is a deficient number, since it is larger than the sum of its proper divisors (60329953).

3133432031 is a wasteful number, since it uses less digits than its factorization.

3133432031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286081.

The product of its (nonzero) digits is 1944, while the sum is 23.

The square root of 3133432031 is about 55977.0670096246. The cubic root of 3133432031 is about 1463.3226432883.

Adding to 3133432031 its reverse (1302343313), we get a palindrome (4435775344).

The spelling of 3133432031 in words is "three billion, one hundred thirty-three million, four hundred thirty-two thousand, thirty-one".

Divisors: 1 97 113 10961 285871 27729487 32303423 3133432031