[go: up one dir, main page]

Search a number
-
+
4113134300 = 22521115124763
BaseRepresentation
bin1111010100101001…
…0111001011011100
3101121122120212112102
43311022113023130
531410430244200
61520050424232
7203633031122
oct36512271334
911548525472
104113134300
111820836750
12969592078
135071b35a2
142b03a3912
151911716d5
hexf52972dc

4113134300 has 72 divisors (see below), whose sum is σ = 9801789312. Its totient is φ = 1485720000.

The previous prime is 4113134273. The next prime is 4113134303. The reversal of 4113134300 is 34313114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113134303) 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, 153719 + ... + 178481.

Almost surely, 24113134300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900894656).

4113134300 is an abundant number, since it is smaller than the sum of its proper divisors (5688655012).

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

4113134300 is a wasteful number, since it uses less digits than its factorization.

4113134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24939 (or 24932 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 4113134300 is about 64133.7220189192. The cubic root of 4113134300 is about 1602.2279249250.

Adding to 4113134300 its reverse (34313114), we get a palindrome (4147447414).

The spelling of 4113134300 in words is "four billion, one hundred thirteen million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 151 220 275 302 550 604 755 1100 1510 1661 3020 3322 3775 6644 7550 8305 15100 16610 24763 33220 41525 49526 83050 99052 123815 166100 247630 272393 495260 544786 619075 1089572 1238150 1361965 2476300 2723930 3739213 5447860 6809825 7478426 13619650 14956852 18696065 27239300 37392130 41131343 74784260 82262686 93480325 164525372 186960650 205656715 373921300 411313430 822626860 1028283575 2056567150 4113134300