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111024303104 = 2101121368927
BaseRepresentation
bin110011101100110010…
…0000110110000000000
3101121120110210222002002
41213121210012300000
53304334210144404
6123000500043132
711010200001611
oct1473144066000
9347513728062
10111024303104
11430a3363200
12196259934a8
13a614796010
145533259c08
152d4bec9c1e
hex19d9906c00

111024303104 has 132 divisors (see below), whose sum is σ = 262720036992. Its totient is φ = 46582947840.

The previous prime is 111024303083. The next prime is 111024303107. The reversal of 111024303104 is 401303420111.

111024303104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (111024303107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1576289 + ... + 1645215.

Almost surely, 2111024303104 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 111024303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131360018496).

111024303104 is an abundant number, since it is smaller than the sum of its proper divisors (151695733888).

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

111024303104 is a wasteful number, since it uses less digits than its factorization.

111024303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68982 (or 68953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 111024303104 its reverse (401303420111), we get a palindrome (512327723215).

The spelling of 111024303104 in words is "one hundred eleven billion, twenty-four million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 256 286 352 416 484 512 572 704 832 968 1024 1144 1408 1573 1664 1936 2288 2816 3146 3328 3872 4576 5632 6292 6656 7744 9152 11264 12584 13312 15488 18304 25168 30976 36608 50336 61952 68927 73216 100672 123904 137854 146432 201344 275708 402688 551416 758197 805376 896051 1102832 1516394 1610752 1792102 2205664 3032788 3584204 4411328 6065576 7168408 8340167 8822656 9856561 12131152 14336816 16680334 17645312 19713122 24262304 28673632 33360668 35290624 39426244 48524608 57347264 66721336 70581248 78852488 97049216 108422171 114694528 133442672 157704976 194098432 216844342 229389056 266885344 315409952 388196864 433688684 458778112 533770688 630819904 776393728 867377368 917556224 1067541376 1261639808 1734754736 2135082752 2523279616 3469509472 4270165504 5046559232 6939018944 8540331008 10093118464 13878037888 27756075776 55512151552 111024303104