Search a number
-
+
1131242420 = 22572111011039
BaseRepresentation
bin100001101101101…
…0110001110110100
32220211122001212102
41003123112032310
54304044224140
6304130241232
740014254600
oct10333261664
92824561772
101131242420
115306141a0
12276a26218
1315049c319
14aa352500
15694a7e15
hex436d63b4

1131242420 has 144 divisors (see below), whose sum is σ = 3047466240. Its totient is φ = 348768000.

The previous prime is 1131242401. The next prime is 1131242423. The reversal of 1131242420 is 242421311.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131242392 and 1131242401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131242423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088261 + ... + 1089299.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 21131242420 is an apocalyptic number.

1131242420 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 1131242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

1131242420 is an abundant number, since it is smaller than the sum of its proper divisors (1916223820).

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

1131242420 is a wasteful number, since it uses less digits than its factorization.

1131242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1131242420 is about 33633.9474341029. The cubic root of 1131242420 is about 1041.9620321094.

Adding to 1131242420 its reverse (242421311), we get a palindrome (1373663731).

The spelling of 1131242420 in words is "one billion, one hundred thirty-one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 101 110 140 154 196 202 220 245 308 385 404 490 505 539 707 770 980 1010 1039 1078 1111 1414 1540 2020 2078 2156 2222 2695 2828 3535 4156 4444 4949 5195 5390 5555 7070 7273 7777 9898 10390 10780 11110 11429 14140 14546 15554 19796 20780 22220 22858 24745 29092 31108 36365 38885 45716 49490 50911 54439 57145 72730 77770 80003 98980 101822 104939 108878 114290 145460 155540 160006 203644 209878 217756 228580 254555 272195 320012 400015 419756 509110 524695 544390 560021 734573 800030 1018220 1049390 1088780 1120042 1154329 1469146 1600060 2098780 2240084 2308658 2800105 2938292 3672865 4617316 5142011 5600210 5771645 7345730 8080303 10284022 11200420 11543290 14691460 16160606 20568044 23086580 25710055 32321212 40401515 51420110 56562121 80803030 102840220 113124242 161606060 226248484 282810605 565621210 1131242420