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1110020112 = 24352312413
BaseRepresentation
bin100001000101001…
…1001000000010000
32212100200212100000
41002022121000100
54233131120422
6302051330000
736336005145
oct10212310020
92770625300
101110020112
1151a6395a3
1226b8b0900
13148c7b746
14a75ca3cc
15676b4cac
hex42299010

1110020112 has 120 divisors (see below), whose sum is σ = 3361909824. Its totient is φ = 353890944.

The previous prime is 1110020099. The next prime is 1110020129. The reversal of 1110020112 is 2110200111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1110020094 and 1110020103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83218 + ... + 95630.

Almost surely, 21110020112 is an apocalyptic number.

1110020112 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 1110020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680954912).

1110020112 is an abundant number, since it is smaller than the sum of its proper divisors (2251889712).

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

1110020112 is a wasteful number, since it uses less digits than its factorization.

1110020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1110020112 is about 33316.9643275014. The cubic root of 1110020112 is about 1035.4050588463.

Adding to 1110020112 its reverse (2110200111), we get a palindrome (3220220223).

The spelling of 1110020112 in words is "one billion, one hundred ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 828 972 1104 1242 1296 1656 1863 1944 2484 3312 3726 3888 4968 5589 7452 9936 11178 12413 14904 22356 24826 29808 37239 44712 49652 74478 89424 99304 111717 148956 198608 223434 285499 297912 335151 446868 570998 595824 670302 856497 893736 1005453 1141996 1340604 1712994 1787472 2010906 2283992 2569491 2681208 3016359 3425988 4021812 4567984 5138982 5362416 6032718 6851976 7708473 8043624 10277964 12065436 13703952 15416946 16087248 20555928 23125419 24130872 30833892 41111856 46250838 48261744 61667784 69376257 92501676 123335568 138752514 185003352 277505028 370006704 555010056 1110020112