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11133420500 = 225319261681
BaseRepresentation
bin10100101111001101…
…01000001111010100
31001201220111100202102
422113212220033110
5140300123424000
65040431501232
7542616340616
oct122746501724
931656440672
1011133420500
1147a3586674
1221a8687818
13108576cca7
147788c0db6
154526463d5
hex2979a83d4

11133420500 has 72 divisors (see below), whose sum is σ = 25662919464. Its totient is φ = 4218912000.

The previous prime is 11133420499. The next prime is 11133420511. The reversal of 11133420500 is 502433111.

11133420500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45751696 + 11087668804 = 6764^2 + 105298^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 149660 + ... + 211340.

It is an arithmetic number, because the mean of its divisors is an integer number (356429437).

Almost surely, 211133420500 is an apocalyptic number.

11133420500 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 11133420500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831459732).

11133420500 is an abundant number, since it is smaller than the sum of its proper divisors (14529498964).

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

11133420500 is a wasteful number, since it uses less digits than its factorization.

11133420500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61738 (or 61707 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11133420500 its reverse (502433111), we get a palindrome (11635853611).

The spelling of 11133420500 in words is "eleven billion, one hundred thirty-three million, four hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 361 380 475 500 722 950 1444 1805 1900 2375 3610 4750 7220 9025 9500 18050 36100 45125 61681 90250 123362 180500 246724 308405 616810 1171939 1233620 1542025 2343878 3084050 4687756 5859695 6168100 7710125 11719390 15420250 22266841 23438780 29298475 30840500 44533682 58596950 89067364 111334205 117193900 146492375 222668410 292984750 445336820 556671025 585969500 1113342050 2226684100 2783355125 5566710250 11133420500