Search a number
-
+
1103120000 = 275413789
BaseRepresentation
bin100000111000000…
…0100011010000000
32211212201022011022
41001300010122000
54224344320000
6301243405012
736223236203
oct10160043200
92755638138
101103120000
11516756424
12269523768
13147703b38
14a671193a
1566ca0585
hex41c04680

1103120000 has 80 divisors (see below), whose sum is σ = 2746347450. Its totient is φ = 441216000.

The previous prime is 1103119999. The next prime is 1103120063. The reversal of 1103120000 is 213011.

It can be written as a sum of positive squares in 5 ways, for example, as 180418624 + 922701376 = 13432^2 + 30376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1103120000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 73106 + ... + 86894.

Almost surely, 21103120000 is an apocalyptic number.

1103120000 is a gapful number since it is divisible by the number (10) 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 1103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373173725).

1103120000 is an abundant number, since it is smaller than the sum of its proper divisors (1643227450).

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

1103120000 is an frugal number, since it uses more digits than its factorization.

1103120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13823 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1103120000 is about 33213.2503678878. The cubic root of 1103120000 is about 1033.2551680960.

Adding to 1103120000 its reverse (213011), we get a palindrome (1103333011).

The spelling of 1103120000 in words is "one billion, one hundred three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 13789 16000 20000 27578 40000 55156 68945 80000 110312 137890 220624 275780 344725 441248 551560 689450 882496 1103120 1378900 1723625 1764992 2206240 2757800 3447250 4412480 5515600 6894500 8618125 8824960 11031200 13789000 17236250 22062400 27578000 34472500 44124800 55156000 68945000 110312000 137890000 220624000 275780000 551560000 1103120000