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112103091553428 = 2232311912007126203
BaseRepresentation
bin11001011111010100001000…
…111100110100010010010100
3112200220221200012100011100200
4121133110020330310102110
5104143144112414202203
61034231241014340500
732420116054001463
oct3137241074642224
9480827605304320
10112103091553428
11327a0721729a08
12106a63b665a730
134a723789a3801
141d97b6628a9da
15ce60d30559a3
hex65f508f34494

112103091553428 has 144 divisors (see below), whose sum is σ = 294070079127552. Its totient is φ = 35969791176000.

The previous prime is 112103091553367. The next prime is 112103091553429. The reversal of 112103091553428 is 824355190301211.

112103091553428 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 0 + 3 + 0 + 91 + 5 + 534 + 28 = 666.

It is a super-3 number, since 3×1121030915534283 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112103091553429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4278240975 + ... + 4278267177.

Almost surely, 2112103091553428 is an apocalyptic number.

112103091553428 is a gapful number since it is divisible by the number (18) 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 112103091553428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147035039563776).

112103091553428 is an abundant number, since it is smaller than the sum of its proper divisors (181966987574124).

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

112103091553428 is a wasteful number, since it uses less digits than its factorization.

112103091553428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46506 (or 46501 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 112103091553428 in words is "one hundred twelve trillion, one hundred three billion, ninety-one million, five hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 191 279 372 382 558 573 764 1116 1146 1719 2292 3438 5921 6876 11842 17763 20071 23684 26203 35526 40142 52406 53289 60213 71052 78609 80284 104812 106578 120426 157218 180639 213156 235827 240852 314436 361278 471654 622201 722556 812293 943308 1244402 1624586 1866603 2436879 2488804 3249172 3733206 3833561 4873758 5004773 5599809 7310637 7466412 7667122 9747516 10009546 11199618 11500683 14621274 15014319 15334244 20019092 22399236 23001366 29242548 30028638 34502049 45042957 46002732 60057276 69004098 90085914 118840391 138008196 155147963 180171828 237680782 310295926 356521173 465443889 475361564 525920413 620591852 713042346 930887778 1051840826 1069563519 1396331667 1426084692 1577761239 1861775556 2103681652 2139127038 2792663334 3155522478 4278254076 4733283717 5585326668 6311044956 9466567434 16303532803 18933134868 32607065606 48910598409 65214131212 97821196818 100450798883 146731795227 195642393636 200901597766 293463590454 301352396649 401803195532 586927180908 602704793298 904057189947 1205409586596 1808114379894 3113974765373 3616228759788 6227949530746 9341924296119 12455899061492 18683848592238 28025772888357 37367697184476 56051545776714 112103091553428