Search a number
-
+
1131514300 = 2252710715107
BaseRepresentation
bin100001101110001…
…1000100110111100
32220212010212211001
41003130120212330
54304131424200
6304140140044
740016466340
oct10334304674
92825125731
101131514300
1153078a494
12276b37624
13150565cb7
14aa3c3620
156950d76a
hex437189bc

1131514300 has 72 divisors (see below), whose sum is σ = 2832568704. Its totient is φ = 384296640.

The previous prime is 1131514289. The next prime is 1131514309. The reversal of 1131514300 is 34151311.

It is a super-2 number, since 2×11315143002 = 2560649222208980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131514309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67347 + ... + 82453.

It is an arithmetic number, because the mean of its divisors is an integer number (39341232).

Almost surely, 21131514300 is an apocalyptic number.

1131514300 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 1131514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416284352).

1131514300 is an abundant number, since it is smaller than the sum of its proper divisors (1701054404).

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

1131514300 is a wasteful number, since it uses less digits than its factorization.

1131514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235 (or 15228 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1131514300 is about 33637.9889410767. The cubic root of 1131514300 is about 1042.0454996139.

Adding to 1131514300 its reverse (34151311), we get a palindrome (1165665611).

The spelling of 1131514300 in words is "one billion, one hundred thirty-one million, five hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 1070 1498 2140 2675 2996 3745 5350 7490 10700 14980 15107 18725 30214 37450 60428 74900 75535 105749 151070 211498 302140 377675 422996 528745 755350 1057490 1510700 1616449 2114980 2643725 3232898 5287450 6465796 8082245 10574900 11315143 16164490 22630286 32328980 40411225 45260572 56575715 80822450 113151430 161644900 226302860 282878575 565757150 1131514300