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3311331133 = 112106125793
BaseRepresentation
bin1100010101011110…
…1110011100111101
322112202212001100211
43011113232130331
523240200044013
61304325152421
7145025564425
oct30527563475
98482761324
103311331133
11144a184100
12784b5b711
1340a04ba46
14235ac9485
15145a9023d
hexc55ee73d

3311331133 has 12 divisors (see below), whose sum is σ = 3643299324. Its totient is φ = 3007347200.

The previous prime is 3311331113. The next prime is 3311331161.

3311331133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1087548484 + 2223782649 = 32978^2 + 47157^2 .

It is a de Polignac number, because none of the positive numbers 2k-3311331133 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311331113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115485 + ... + 141277.

It is an arithmetic number, because the mean of its divisors is an integer number (303608277).

Almost surely, 23311331133 is an apocalyptic number.

It is an amenable number.

3311331133 is a deficient number, since it is larger than the sum of its proper divisors (331968191).

3311331133 is a wasteful number, since it uses less digits than its factorization.

3311331133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26876 (or 26865 counting only the distinct ones).

The product of its digits is 729, while the sum is 22.

The square root of 3311331133 is about 57544.1668025526. The cubic root of 3311331133 is about 1490.5076319376.

It can be divided in two parts, 33113 and 31133, that added together give a palindrome (64246).

The spelling of 3311331133 in words is "three billion, three hundred eleven million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 11 121 1061 11671 25793 128381 283723 3120953 27366373 301030103 3311331133