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112100145444 = 223273189161233
BaseRepresentation
bin110100001100110110…
…0000111100100100100
3101201100110012102022200
41220121230013210210
53314040114123234
6123255331054500
711045642341320
oct1503154074444
9351313172280
10112100145444
11435a5678501
1219886141430
13a756639011
1455d60aa980
152db168cd99
hex1a19b07924

112100145444 has 144 divisors (see below), whose sum is σ = 338049653760. Its totient is φ = 30646978560.

The previous prime is 112100145427. The next prime is 112100145473. The reversal of 112100145444 is 444541001211.

It is a happy number.

112100145444 is a `hidden beast` number, since 1 + 1 + 2 + 100 + 14 + 544 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614652 + ... + 775884.

It is an arithmetic number, because the mean of its divisors is an integer number (2347567040).

Almost surely, 2112100145444 is an apocalyptic number.

112100145444 is a gapful number since it is divisible by the number (14) 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 112100145444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169024826880).

112100145444 is an abundant number, since it is smaller than the sum of its proper divisors (225949508316).

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

112100145444 is a wasteful number, since it uses less digits than its factorization.

112100145444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161370 (or 161365 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 112100145444 its reverse (444541001211), we get a palindrome (556641146655).

The spelling of 112100145444 in words is "one hundred twelve billion, one hundred million, one hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 89 93 124 126 178 186 217 252 267 279 356 372 434 534 558 623 651 801 868 1068 1116 1246 1302 1602 1869 1953 2492 2604 2759 3204 3738 3906 5518 5607 7476 7812 8277 11036 11214 16554 19313 22428 24831 33108 38626 49662 57939 77252 99324 115878 161233 173817 231756 322466 347634 483699 644932 695268 967398 1128631 1451097 1934796 2257262 2902194 3385893 4514524 4998223 5804388 6771786 9996446 10157679 13543572 14349737 14994669 19992892 20315358 28699474 29989338 34987561 40630716 43049211 44984007 57398948 59978676 69975122 86098422 89968014 100448159 104962683 129147633 139950244 172196844 179936028 200896318 209925366 258295266 301344477 314888049 401792636 419850732 444841847 516590532 602688954 629776098 889683694 904033431 1205377908 1259552196 1334525541 1779367388 1808066862 2669051082 3113892929 3616133724 4003576623 5338102164 6227785858 8007153246 9341678787 12455571716 16014306492 18683357574 28025036361 37366715148 56050072722 112100145444