Search a number
-
+
110013010000 = 245411001301
BaseRepresentation
bin110011001110101001…
…0010101000001010000
3101111221222212221201221
41212131102111001100
53300301312310000
6122312252334424
710643140104325
oct1463522250120
9344858787657
10110013010000
1142724526783
12193a3174414
13a4b310382a
145478c0cb4c
152cdd31761a
hex199d495050

110013010000 has 50 divisors (see below), whose sum is σ = 266352522722. Its totient is φ = 44005200000.

The previous prime is 110013009979. The next prime is 110013010007. The reversal of 110013010000 is 10310011.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 77753976336 + 32259033664 = 278844^2 + 179608^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013010007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5490651 + ... + 5510650.

Almost surely, 2110013010000 is an apocalyptic number.

110013010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110013010000 is an abundant number, since it is smaller than the sum of its proper divisors (156339512722).

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

110013010000 is an equidigital number, since it uses as much as digits as its factorization.

110013010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001329 (or 11001308 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 110013010000 its reverse (10310011), we get a palindrome (110023320011).

The spelling of 110013010000 in words is "one hundred ten billion, thirteen million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 11001301 22002602 44005204 55006505 88010408 110013010 176020816 220026020 275032525 440052040 550065050 880104080 1100130100 1375162625 2200260200 2750325250 4400520400 5500650500 6875813125 11001301000 13751626250 22002602000 27503252500 55006505000 110013010000