Search a number
-
+
11113261400 = 235288362929
BaseRepresentation
bin10100101100110011…
…01110100101011000
31001200111120011200002
422112121232211120
5140224443331100
65034431432132
7542253110003
oct122631564530
931614504602
1011113261400
11479316785a
1221a1985648
131081532327
14775d5453a
154509b32d5
hex29666e958

11113261400 has 48 divisors (see below), whose sum is σ = 25868005800. Its totient is φ = 4440199680.

The previous prime is 11113261387. The next prime is 11113261409. The reversal of 11113261400 is 416231111.

It is a happy number.

11113261400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113261409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145136 + ... + 208064.

Almost surely, 211113261400 is an apocalyptic number.

11113261400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11113261400 is an abundant number, since it is smaller than the sum of its proper divisors (14754744400).

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

11113261400 is a wasteful number, since it uses less digits than its factorization.

11113261400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63828 (or 63819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 11113261400 its reverse (416231111), we get a palindrome (11529492511).

The spelling of 11113261400 in words is "eleven billion, one hundred thirteen million, two hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 883 1766 3532 4415 7064 8830 17660 22075 35320 44150 62929 88300 125858 176600 251716 314645 503432 629290 1258580 1573225 2517160 3146450 6292900 12585800 55566307 111132614 222265228 277831535 444530456 555663070 1111326140 1389157675 2222652280 2778315350 5556630700 11113261400