Search a number
-
+
1110242112 = 26374319211
BaseRepresentation
bin100001000101100…
…1111001101000000
32212101010010212020
41002023033031000
54233210221422
6302100201440
736340621320
oct10213171500
92771103766
101110242112
1151a780371
1226b999280
131490287c5
14a7647280
156770a95c
hex422cf340

1110242112 has 112 divisors (see below), whose sum is σ = 3435412992. Its totient is φ = 309818880.

The previous prime is 1110242101. The next prime is 1110242167. The reversal of 1110242112 is 2112420111.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1110242091 and 1110242100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48187 + ... + 67397.

Almost surely, 21110242112 is an apocalyptic number.

1110242112 is a gapful number since it is divisible by the number (12) 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 1110242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717706496).

1110242112 is an abundant number, since it is smaller than the sum of its proper divisors (2325170880).

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

1110242112 is a wasteful number, since it uses less digits than its factorization.

1110242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19276 (or 19266 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1110242112 is about 33320.2957970064. The cubic root of 1110242112 is about 1035.4740799984.

Adding to 1110242112 its reverse (2112420111), we get a palindrome (3222662223).

The spelling of 1110242112 in words is "one billion, one hundred ten million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2752 3612 4128 4816 7224 8256 9632 14448 19211 19264 28896 38422 57633 57792 76844 115266 134477 153688 230532 268954 307376 403431 461064 537908 614752 806862 826073 922128 1075816 1229504 1613724 1652146 1844256 2151632 2478219 3227448 3304292 3688512 4303264 4956438 5782511 6454896 6608584 8606528 9912876 11565022 12909792 13217168 17347533 19825752 23130044 25819584 26434336 34695066 39651504 46260088 52868672 69390132 79303008 92520176 138780264 158606016 185040352 277560528 370080704 555121056 1110242112