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112112333333 = 71113112000333
BaseRepresentation
bin110100001101001101…
…0100111001000010101
3101201101022010121221222
41220122122213020111
53314101224131313
6123300444220125
711046151052450
oct1503232471025
9351338117858
10112112333333
1143601542440
121988a23a645
13a7590156a0
1455d7960497
152db2799208
hex1a1a6a7215

112112333333 has 16 divisors (see below), whose sum is σ = 150528448896. Its totient is φ = 80640239040.

The previous prime is 112112333323. The next prime is 112112333357. The reversal of 112112333333 is 333333211211.

It is a cyclic number.

It is not a de Polignac number, because 112112333333 - 28 = 112112333077 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

112112333333 is a modest number, since divided by 333333 gives 112112 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112333323) 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, 55999166 + ... + 56001167.

It is an arithmetic number, because the mean of its divisors is an integer number (9408028056).

Almost surely, 2112112333333 is an apocalyptic number.

112112333333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112112333333 is a deficient number, since it is larger than the sum of its proper divisors (38416115563).

112112333333 is a wasteful number, since it uses less digits than its factorization.

112112333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112000364.

The product of its digits is 2916, while the sum is 26.

Adding to 112112333333 its reverse (333333211211), we get a palindrome (445445544544).

The spelling of 112112333333 in words is "one hundred twelve billion, one hundred twelve million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 7 11 13 77 91 143 1001 112000333 784002331 1232003663 1456004329 8624025641 10192030303 16016047619 112112333333