Search a number
-
+
110332113120 = 2533525539841
BaseRepresentation
bin110011011000001001…
…1100111000011100000
3101112210020100001221000
41212300103213003200
53301430010104440
6122404052032000
710654063326165
oct1466023470340
9345706301830
10110332113120
1142878668669
1219472002600
13a53425c748
1454a935606c
152d0b34b730
hex19b04e70e0

110332113120 has 96 divisors (see below), whose sum is σ = 386162411040. Its totient is φ = 29421895680.

The previous prime is 110332113091. The next prime is 110332113121. The reversal of 110332113120 is 21311233011.

110332113120 is a `hidden beast` number, since 1 + 10 + 332 + 11 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1103321131202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110332113093 and 110332113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110332113121) 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, 12765601 + ... + 12774240.

It is an arithmetic number, because the mean of its divisors is an integer number (4022525115).

Almost surely, 2110332113120 is an apocalyptic number.

110332113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110332113120 is an abundant number, since it is smaller than the sum of its proper divisors (275830297920).

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

110332113120 is a wasteful number, since it uses less digits than its factorization.

110332113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25539865 (or 25539851 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110332113120 its reverse (21311233011), we get a palindrome (131643346131).

The spelling of 110332113120 in words is "one hundred ten billion, three hundred thirty-two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 25539841 51079682 76619523 102159364 127699205 153239046 204318728 229858569 255398410 306478092 383097615 408637456 459717138 510796820 612956184 689575707 766195230 817274912 919434276 1021593640 1149292845 1225912368 1379151414 1532390460 1838868552 2043187280 2298585690 2451824736 2758302828 3064780920 3447878535 3677737104 4086374560 4597171380 5516605656 6129561840 6895757070 7355474208 9194342760 11033211312 12259123680 13791514140 18388685520 22066422624 27583028280 36777371040 55166056560 110332113120