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3012110112 = 253112349743
BaseRepresentation
bin1011001110001001…
…0010011100100000
321202220211001021210
42303202102130200
522132100010422
61214515550120
7134433341064
oct26342223440
97686731253
103012110112
111306291a00
127008bb340
1339006469b
14208079aa4
1512968710c
hexb3892720

3012110112 has 144 divisors (see below), whose sum is σ = 8727566400. Its totient is φ = 908920320.

The previous prime is 3012110111. The next prime is 3012110131. The reversal of 3012110112 is 2110112103.

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

It is not an unprimeable number, because it can be changed into a prime (3012110111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4053613 + ... + 4054355.

It is an arithmetic number, because the mean of its divisors is an integer number (60608100).

Almost surely, 23012110112 is an apocalyptic number.

3012110112 is a gapful number since it is divisible by the number (32) 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 3012110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363783200).

3012110112 is an abundant number, since it is smaller than the sum of its proper divisors (5715456288).

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

3012110112 is a wasteful number, since it uses less digits than its factorization.

3012110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1108 counting only the distinct ones).

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

The square root of 3012110112 is about 54882.6941029684. The cubic root of 3012110112 is about 1444.1876097479.

Adding to 3012110112 its reverse (2110112103), we get a palindrome (5122222215).

The spelling of 3012110112 in words is "three billion, twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 349 352 363 484 528 698 726 743 968 1047 1056 1396 1452 1486 1936 2094 2229 2792 2904 2972 3839 3872 4188 4458 5584 5808 5944 7678 8173 8376 8916 11168 11517 11616 11888 15356 16346 16752 17832 23034 23776 24519 30712 32692 33504 35664 42229 46068 49038 61424 65384 71328 84458 89903 92136 98076 122848 126687 130768 168916 179806 184272 196152 253374 259307 261536 269709 337832 359612 368544 392304 506748 518614 539418 675664 719224 777921 784608 1013496 1037228 1078836 1351328 1438448 1555842 2026992 2074456 2157672 2852377 2876896 3111684 4053984 4148912 4315344 5704754 6223368 8297824 8557131 8630688 11409508 12446736 17114262 22819016 24893472 31376147 34228524 45638032 62752294 68457048 91276064 94128441 125504588 136914096 188256882 251009176 273828192 376513764 502018352 753027528 1004036704 1506055056 3012110112