Search a number
-
+
110105510032 = 24727716672129
BaseRepresentation
bin110011010001011001…
…1001100000010010000
3101112012102221102221001
41212202303030002100
53300444002310112
6122325355111344
710645342251610
oct1464263140220
9345172842831
10110105510032
1142771765391
121940a142554
13a4c931c68b
14548720aa40
152ce64d9c57
hex19a2ccc090

110105510032 has 80 divisors (see below), whose sum is σ = 244947000960. Its totient is φ = 46967445504.

The previous prime is 110105510029. The next prime is 110105510033. The reversal of 110105510032 is 230015501011.

It is a junction number, because it is equal to n+sod(n) for n = 110105509991 and 110105510009.

It is not an unprimeable number, because it can be changed into a prime (110105510033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51715944 + ... + 51718072.

It is an arithmetic number, because the mean of its divisors is an integer number (3061837512).

Almost surely, 2110105510032 is an apocalyptic number.

It is an amenable number.

110105510032 is an abundant number, since it is smaller than the sum of its proper divisors (134841490928).

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

110105510032 is a wasteful number, since it uses less digits than its factorization.

110105510032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 110105510032 in words is "one hundred ten billion, one hundred five million, five hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 277 554 1108 1667 1939 2129 2216 3334 3878 4258 4432 6668 7756 8516 11669 13336 14903 15512 17032 23338 26672 29806 31024 34064 46676 59612 93352 119224 186704 238448 461759 589733 923518 1179466 1847036 2358932 3232313 3549043 3694072 4128131 4717864 6464626 7098086 7388144 8256262 9435728 12929252 14196172 16512524 24843301 25858504 28392344 33025048 49686602 51717008 56784688 66050096 99373204 198746408 397492816 983084911 1966169822 3932339644 6881594377 7864679288 13763188754 15729358576 27526377508 55052755016 110105510032