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110134442232 = 23345316012003
BaseRepresentation
bin110011010010010000…
…1100011100011111000
3101112021110101100110000
41212210201203203320
53301023404122412
6122332311153000
710646143212213
oct1464441434370
9345243340400
10110134442232
11427870265a1
1219417975760
13a50230c619
14548adbc77a
152ce8d024dc
hex19a48638f8

110134442232 has 160 divisors (see below), whose sum is σ = 314652088080. Its totient is φ = 35978342400.

The previous prime is 110134442219. The next prime is 110134442261. The reversal of 110134442232 is 232244431011.

It is a super-3 number, since 3×1101344422323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110134442196 and 110134442205.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 54983743 + ... + 54985745.

Almost surely, 2110134442232 is an apocalyptic number.

110134442232 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 110134442232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157326044040).

110134442232 is an abundant number, since it is smaller than the sum of its proper divisors (204517645848).

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

110134442232 is a wasteful number, since it uses less digits than its factorization.

110134442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 110134442232 its reverse (232244431011), we get a palindrome (342378873243).

The spelling of 110134442232 in words is "one hundred ten billion, one hundred thirty-four million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1601 1908 2003 2862 3202 3816 4006 4293 4803 5724 6009 6404 8012 8586 9606 11448 12018 12808 14409 16024 17172 18027 19212 24036 28818 34344 36054 38424 43227 48072 54081 57636 72108 84853 86454 106159 108162 115272 129681 144216 162243 169706 172908 212318 216324 254559 259362 318477 324486 339412 345816 424636 432648 509118 518724 636954 648972 678824 763677 849272 955431 1018236 1037448 1273908 1297944 1527354 1910862 2036472 2291031 2547816 2866293 3054708 3206803 3821724 4582062 5732586 6109416 6413606 6873093 7643448 8598879 9164124 9620409 11465172 12827212 13746186 17197758 18328248 19240818 22930344 25654424 27492372 28861227 34395516 38481636 54984744 57722454 68791032 76963272 86583681 115444908 169960559 173167362 230889816 259751043 339921118 346334724 509881677 519502086 679842236 692669448 1019763354 1039004172 1359684472 1529645031 2039526708 2078008344 3059290062 4079053416 4588935093 6118580124 9177870186 12237160248 13766805279 18355740372 27533610558 36711480744 55067221116 110134442232