Search a number
-
+
11223431000 = 2353106910499
BaseRepresentation
bin10100111001111011…
…11111011101011000
31001222011212100221122
422130331333131120
5140441144243000
65053405024412
7545061406115
oct123475773530
931864770848
1011223431000
11483a374911
122212855108
13109b2c6942
1478683190c
1545a4c6085
hex29cf7f758

11223431000 has 64 divisors (see below), whose sum is σ = 26289900000. Its totient is φ = 4484745600.

The previous prime is 11223430987. The next prime is 11223431017. The reversal of 11223431000 is 13432211.

It is a super-2 number, since 2×112234310002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11223431000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063751 + ... + 1074249.

Almost surely, 211223431000 is an apocalyptic number.

11223431000 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 11223431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144950000).

11223431000 is an abundant number, since it is smaller than the sum of its proper divisors (15066469000).

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

11223431000 is a wasteful number, since it uses less digits than its factorization.

11223431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11589 (or 11575 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11223431000 its reverse (13432211), we get a palindrome (11236863211).

The spelling of 11223431000 in words is "eleven billion, two hundred twenty-three million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1069 2138 4276 5345 8552 10499 10690 20998 21380 26725 41996 42760 52495 53450 83992 104990 106900 133625 209980 213800 262475 267250 419960 524950 534500 1049900 1069000 1312375 2099800 2624750 5249500 10499000 11223431 22446862 44893724 56117155 89787448 112234310 224468620 280585775 448937240 561171550 1122343100 1402928875 2244686200 2805857750 5611715500 11223431000