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110003330112 = 26313371191131
BaseRepresentation
bin110011001110010110…
…1011001110001000000
3101111221022200011102120
41212130231121301000
53300241323030422
6122311305044240
710642661610144
oct1463455316100
9344838604376
10110003330112
114271a015075
121939ba86680
13a4b10c48a0
14547780d224
152cdc55445c
hex199cb59c40

110003330112 has 112 divisors (see below), whose sum is σ = 321910569792. Its totient is φ = 32932362240.

The previous prime is 110003330083. The next prime is 110003330117. The reversal of 110003330112 is 211033300011.

It is a junction number, because it is equal to n+sod(n) for n = 110003330091 and 110003330100.

It is not an unprimeable number, because it can be changed into a prime (110003330117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503214 + ... + 687917.

It is an arithmetic number, because the mean of its divisors is an integer number (2874201516).

Almost surely, 2110003330112 is an apocalyptic number.

110003330112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110003330112 is an abundant number, since it is smaller than the sum of its proper divisors (211907239680).

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

110003330112 is a wasteful number, since it uses less digits than its factorization.

110003330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191196 (or 1191186 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 110003330112 its reverse (211033300011), we get a palindrome (321036630123).

The spelling of 110003330112 in words is "one hundred ten billion, three million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 624 832 888 962 1184 1248 1443 1776 1924 2368 2496 2886 3552 3848 5772 7104 7696 11544 15392 23088 30784 46176 92352 1191131 2382262 3573393 4764524 7146786 9529048 14293572 15484703 19058096 28587144 30969406 38116192 44071847 46454109 57174288 61938812 76232384 88143694 92908218 114348576 123877624 132215541 176287388 185816436 228697152 247755248 264431082 352574776 371632872 495510496 528862164 572934011 705149552 743265744 991020992 1057724328 1145868022 1410299104 1486531488 1718802033 2115448656 2291736044 2820598208 2973062976 3437604066 4230897312 4583472088 6875208132 8461794624 9166944176 13750416264 18333888352 27500832528 36667776704 55001665056 110003330112