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3312442133 = 711135956087
BaseRepresentation
bin1100010101101111…
…1101101100010101
322112211221111100222
43011123331230111
523240441122013
61304405044125
7145041202460
oct30533755425
98484844328
103312442133
11144a872890
127853b6645
1340a34a640
14235cd82d7
15145c0e508
hexc56fdb15

3312442133 has 32 divisors (see below), whose sum is σ = 4522936320. Its totient is φ = 2342151360.

The previous prime is 3312442127. The next prime is 3312442181.

3312442133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3312442133 - 212 = 3312438037 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312442183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31016 + ... + 87102.

It is an arithmetic number, because the mean of its divisors is an integer number (141341760).

Almost surely, 23312442133 is an apocalyptic number.

It is an amenable number.

3312442133 is a deficient number, since it is larger than the sum of its proper divisors (1210494187).

3312442133 is a wasteful number, since it uses less digits than its factorization.

3312442133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56177.

The product of its digits is 5184, while the sum is 26.

The square root of 3312442133 is about 57553.8194475397. The cubic root of 3312442133 is about 1490.6743089977.

It can be divided in two parts, 33124 and 42133, that added together give a palindrome (75257).

The spelling of 3312442133 in words is "three billion, three hundred twelve million, four hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 7 11 13 59 77 91 143 413 649 767 1001 4543 5369 8437 56087 59059 392609 616957 729131 3309133 4318699 5103917 8020441 23163931 36400463 43018729 56143087 254803241 301131103 473206019 3312442133