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3133211331 = 33377014421
BaseRepresentation
bin1011101011000001…
…0000001011000011
322002100200121221010
42322300100023003
522404100230311
61234523332003
7140433566625
oct27260201303
98070617833
103133211331
111368686058
12735381003
133ac185903
1421a1a0c15
15135108da6
hexbac102c3

3133211331 has 16 divisors (see below), whose sum is σ = 4196937888. Its totient is φ = 2079168000.

The previous prime is 3133211287. The next prime is 3133211339. The reversal of 3133211331 is 1331123313.

It is not a de Polignac number, because 3133211331 - 29 = 3133210819 is a prime.

It is a super-2 number, since 2×31332113312 = 19634026489413583122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3133211298 and 3133211307.

It is not an unprimeable number, because it can be changed into a prime (3133211339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706501 + ... + 710921.

It is an arithmetic number, because the mean of its divisors is an integer number (262308618).

Almost surely, 23133211331 is an apocalyptic number.

3133211331 is a deficient number, since it is larger than the sum of its proper divisors (1063726557).

3133211331 is a wasteful number, since it uses less digits than its factorization.

3133211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462.

The product of its digits is 486, while the sum is 21.

The square root of 3133211331 is about 55975.0956318969. The cubic root of 3133211331 is about 1463.2882866163.

Adding to 3133211331 its reverse (1331123313), we get a palindrome (4464334644).

The spelling of 3133211331 in words is "three billion, one hundred thirty-three million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 337 701 1011 2103 4421 13263 236237 708711 1489877 3099121 4469631 9297363 1044403777 3133211331