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110024134434 = 23341431115301
BaseRepresentation
bin110011001110111110…
…0110000111100100010
3101111222202211010121000
41212131330300330202
53300312134300214
6122313331012430
710643333466144
oct1463574607442
9344882733530
10110024134434
114272a834725
12193a6a3a116
13a4b54ca136
14547a4a6c94
152cde2b3809
hex199df30f22

110024134434 has 64 divisors (see below), whose sum is σ = 251044738560. Its totient is φ = 35696880000.

The previous prime is 110024134421. The next prime is 110024134463. The reversal of 110024134434 is 434431420011.

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 = 110024134398 and 110024134407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896584 + ... + 1011884.

It is an arithmetic number, because the mean of its divisors is an integer number (3922574040).

Almost surely, 2110024134434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110024134434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125522369280).

110024134434 is an abundant number, since it is smaller than the sum of its proper divisors (141020604126).

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

110024134434 is a wasteful number, since it uses less digits than its factorization.

110024134434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115784 (or 115778 counting only the distinct ones).

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

Adding to 110024134434 its reverse (434431420011), we get a palindrome (544455554445).

The spelling of 110024134434 in words is "one hundred ten billion, twenty-four million, one hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 431 738 862 1107 1293 2214 2586 3879 7758 11637 17671 23274 35342 53013 106026 115301 159039 230602 318078 345903 477117 691806 954234 1037709 2075418 3113127 4727341 6226254 9454682 14182023 28364046 42546069 49694731 85092138 99389462 127638207 149084193 255276414 298168386 447252579 894505158 1341757737 2037483971 2683515474 4074967942 6112451913 12224903826 18337355739 36674711478 55012067217 110024134434