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112111104 = 293710427
BaseRepresentation
bin1101010111010…
…10111000000000
321210221211112010
412223222320000
5212200023404
615042532520
72530633350
oct653527000
9253854463
10112111104
1158313806
1231667140
131a2c4241
1410c64b60
159c98189
hex6aeae00

112111104 has 80 divisors (see below), whose sum is σ = 341371008. Its totient is φ = 32028672.

The previous prime is 112111099. The next prime is 112111117. The reversal of 112111104 is 401111211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 112111104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5539 + ... + 15965.

Almost surely, 2112111104 is an apocalyptic number.

112111104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170685504).

112111104 is an abundant number, since it is smaller than the sum of its proper divisors (229259904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112111104 is an equidigital number, since it uses as much as digits as its factorization.

112111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10455 (or 10439 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 112111104 is about 10588.2531137105. The cubic root of 112111104 is about 482.1877909006.

Adding to 112111104 its reverse (401111211), we get a palindrome (513222315).

The spelling of 112111104 in words is "one hundred twelve million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10427 10752 20854 31281 41708 62562 72989 83416 125124 145978 166832 218967 250248 291956 333664 437934 500496 583912 667328 875868 1000992 1167824 1334656 1751736 2001984 2335648 2669312 3503472 4003968 4671296 5338624 7006944 8007936 9342592 14013888 16015872 18685184 28027776 37370368 56055552 112111104