Search a number
-
+
1123124220 = 2232547132757
BaseRepresentation
bin100001011110001…
…1000001111111100
32220021100121210100
41002330120033330
54300004433340
6303240241100
736555253431
oct10274301774
92807317710
101123124220
11526a79939
12274170190
1314b8b915a
14a923bb88
1568902830
hex42f183fc

1123124220 has 72 divisors (see below), whose sum is σ = 3479321664. Its totient is φ = 293125248.

The previous prime is 1123124207. The next prime is 1123124237. The reversal of 1123124220 is 224213211.

It is a happy number.

1123124220 is a `hidden beast` number, since 11 + 231 + 2 + 422 + 0 = 666.

It is a super-2 number, since 2×11231242202 = 2522816027101216800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1123124193 and 1123124202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57919 + ... + 74838.

It is an arithmetic number, because the mean of its divisors is an integer number (48323912).

Almost surely, 21123124220 is an apocalyptic number.

1123124220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123124220 is an abundant number, since it is smaller than the sum of its proper divisors (2356197444).

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

1123124220 is a wasteful number, since it uses less digits than its factorization.

1123124220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132819 (or 132814 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1123124220 is about 33513.0455196182. The cubic root of 1123124220 is about 1039.4635485331.

Adding to 1123124220 its reverse (224213211), we get a palindrome (1347337431).

The spelling of 1123124220 in words is "one billion, one hundred twenty-three million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 132757 265514 398271 531028 663785 796542 1194813 1327570 1593084 1991355 2389626 2655140 3982710 4779252 5974065 6239579 7965420 11948130 12479158 18718737 23896260 24958316 31197895 37437474 56156211 62395790 74874948 93593685 112312422 124791580 187187370 224624844 280781055 374374740 561562110 1123124220