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3112111111 = 31433137459
BaseRepresentation
bin1011100101111111…
…0000110000000111
322000212222121212111
42321133300300013
522333200023421
61232451201451
7140056336144
oct27137606007
98025877774
103112111111
11135778415a
1272a2a6287
133a79a8785
1421746b3cb
1513333bee1
hexb97f0c07

3112111111 has 16 divisors (see below), whose sum is σ = 3298155520. Its totient is φ = 2931888960.

The previous prime is 3112111091. The next prime is 3112111127. The reversal of 3112111111 is 1111112113.

It is a cyclic number.

It is not a de Polignac number, because 3112111111 - 27 = 3112110983 is a prime.

It is a Duffinian number.

3112111111 is a modest number, since divided by 111111 gives 3112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3112111091 and 3112111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112111411) 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, 413500 + ... + 420958.

It is an arithmetic number, because the mean of its divisors is an integer number (206134720).

Almost surely, 23112111111 is an apocalyptic number.

3112111111 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3112111111 is a deficient number, since it is larger than the sum of its proper divisors (186044409).

3112111111 is a wasteful number, since it uses less digits than its factorization.

3112111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846.

The product of its digits is 6, while the sum is 13.

The square root of 3112111111 is about 55786.2985956229. The cubic root of 3112111111 is about 1459.9961079211.

Adding to 3112111111 its reverse (1111112113), we get a palindrome (4223223224).

The spelling of 3112111111 in words is "three billion, one hundred twelve million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 31 43 313 1333 7459 9703 13459 231229 320737 417229 2334667 9942847 72374677 100390681 3112111111