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1112330112 = 2733779991
BaseRepresentation
bin100001001001100…
…1100111110000000
32212112001020001120
41002103030332000
54234224030422
6302213032240
736364435635
oct10223147600
92775036046
101112330112
11520977093
12270625680
131495a9cca
14a7a2c18c
15679be45c
hex424ccf80

1112330112 has 128 divisors (see below), whose sum is σ = 3075993600. Its totient is φ = 355829760.

The previous prime is 1112330057. The next prime is 1112330113. The reversal of 1112330112 is 2110332111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1112330091 and 1112330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112330113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121937 + ... + 1122927.

It is an arithmetic number, because the mean of its divisors is an integer number (24031200).

Almost surely, 21112330112 is an apocalyptic number.

1112330112 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 1112330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537996800).

1112330112 is an abundant number, since it is smaller than the sum of its proper divisors (1963663488).

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

1112330112 is an equidigital number, since it uses as much as digits as its factorization.

1112330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1112330112 is about 33351.6133342901. The cubic root of 1112330112 is about 1036.1228021373.

Adding to 1112330112 its reverse (2110332111), we get a palindrome (3222662223).

The spelling of 1112330112 in words is "one billion, one hundred twelve million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 79 96 111 128 148 158 192 222 237 296 316 384 444 474 592 632 888 948 991 1184 1264 1776 1896 1982 2368 2528 2923 2973 3552 3792 3964 4736 5056 5846 5946 7104 7584 7928 8769 10112 11692 11892 14208 15168 15856 17538 23384 23784 30336 31712 35076 36667 46768 47568 63424 70152 73334 78289 93536 95136 110001 126848 140304 146668 156578 187072 190272 220002 234867 280608 293336 313156 374144 380544 440004 469734 561216 586672 626312 880008 939468 1122432 1173344 1252624 1760016 1878936 2346688 2505248 2896693 3520032 3757872 4693376 5010496 5793386 7040064 7515744 8690079 10020992 11586772 14080128 15031488 17380158 23173544 30062976 34760316 46347088 69520632 92694176 139041264 185388352 278082528 370776704 556165056 1112330112