Search a number
-
+
110010233032 = 23747211198091
BaseRepresentation
bin110011001110100011…
…1101111000011001000
3101111221210122212110021
41212131013233003020
53300300104424112
6122312113030224
710643104360240
oct1463507570310
9344853585407
10110010233032
11427229aa367
12193a2255374
13a4b267085b
1454786c8b20
152cdce69907
hex199d1ef0c8

110010233032 has 64 divisors (see below), whose sum is σ = 241894103040. Its totient is φ = 45925185600.

The previous prime is 110010233027. The next prime is 110010233041. The reversal of 110010233032 is 230332010011.

It is a junction number, because it is equal to n+sod(n) for n = 110010232997 and 110010233015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456307 + ... + 654397.

It is an arithmetic number, because the mean of its divisors is an integer number (3779595360).

Almost surely, 2110010233032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110010233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120947051520).

110010233032 is an abundant number, since it is smaller than the sum of its proper divisors (131883870008).

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

110010233032 is a wasteful number, since it uses less digits than its factorization.

110010233032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198362 (or 198358 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 110010233032 its reverse (230332010011), we get a palindrome (340342243043).

The spelling of 110010233032 in words is "one hundred ten billion, ten million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 211 329 376 422 658 844 1316 1477 1688 2632 2954 5908 9917 11816 19834 39668 69419 79336 138838 198091 277676 396182 555352 792364 1386637 1584728 2773274 5546548 9310277 11093096 18620554 37241108 41797201 65171939 74482216 83594402 130343878 167188804 260687756 292580407 334377608 521375512 585160814 1170321628 1964468447 2340643256 3928936894 7857873788 13751279129 15715747576 27502558258 55005116516 110010233032