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3112011331 = 111376128597
BaseRepresentation
bin1011100101111101…
…1000011001000011
322000212210112222221
42321133120121003
522333133330311
61232445111511
7140055442222
oct27137303103
98025715887
103112011331
1113577161a0
1272a258597
133a7972230
14217442cb9
1513331c671
hexb97d8643

3112011331 has 16 divisors (see below), whose sum is σ = 3661001568. Its totient is φ = 2607955200.

The previous prime is 3112011289. The next prime is 3112011337. The reversal of 3112011331 is 1331102113.

It is a cyclic number.

It is not a de Polignac number, because 3112011331 - 29 = 3112010819 is a prime.

It is a super-4 number, since 4×31120113314 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3112011337) 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, 94525 + ... + 123121.

It is an arithmetic number, because the mean of its divisors is an integer number (228812598).

Almost surely, 23112011331 is an apocalyptic number.

3112011331 is a deficient number, since it is larger than the sum of its proper divisors (548990237).

3112011331 is a wasteful number, since it uses less digits than its factorization.

3112011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29382.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 3112011331 is about 55785.4042828409. The cubic root of 3112011331 is about 1459.9805043684.

Adding to 3112011331 its reverse (1331102113), we get a palindrome (4443113444).

The spelling of 3112011331 in words is "three billion, one hundred twelve million, eleven thousand, three hundred thirty-one".

Divisors: 1 11 13 143 761 8371 9893 28597 108823 314567 371761 4089371 21762317 239385487 282910121 3112011331