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1110144112 = 247118591049
BaseRepresentation
bin100001000101011…
…0111010001110000
32212100221011102121
41002022313101300
54233144102422
6302054124024
736340032520
oct10212672160
92770834377
101110144112
1151a713780
1226b950614
13148cc300c
14a761d680
15676db8c7
hex422b7470

1110144112 has 80 divisors (see below), whose sum is σ = 2687328000. Its totient is φ = 431608320.

The previous prime is 1110144109. The next prime is 1110144127. The reversal of 1110144112 is 2114410111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057764 + ... + 1058812.

It is an arithmetic number, because the mean of its divisors is an integer number (33591600).

Almost surely, 21110144112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343664000).

1110144112 is an abundant number, since it is smaller than the sum of its proper divisors (1577183888).

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

1110144112 is a wasteful number, since it uses less digits than its factorization.

1110144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The square root of 1110144112 is about 33318.8251893730. The cubic root of 1110144112 is about 1035.4436123360.

Adding to 1110144112 its reverse (2114410111), we get a palindrome (3224554223).

The spelling of 1110144112 in words is "one billion, one hundred ten million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 859 1049 1232 1718 2098 3436 4196 6013 6872 7343 8392 9449 11539 12026 13744 14686 16784 18898 23078 24052 29372 37796 46156 48104 58744 66143 75592 80773 92312 96208 117488 132286 151184 161546 184624 264572 323092 529144 646184 901091 1058288 1292368 1802182 3604364 6307637 7208728 9912001 12615274 14417456 19824002 25230548 39648004 50461096 69384007 79296008 100922192 138768014 158592016 277536028 555072056 1110144112