Search a number
-
+
4131353000 = 23534131353
BaseRepresentation
bin1111011000111111…
…0111000110101000
3101122220212110220002
43312033313012220
531430111244000
61521541122132
7204243630635
oct36617670650
911586773802
104131353000
11183004a725
129736b9348
1350abc1c98
142b298718c
15192a6e8d5
hexf63f71a8

4131353000 has 32 divisors (see below), whose sum is σ = 9667368360. Its totient is φ = 1652540800.

The previous prime is 4131352991. The next prime is 4131353003. The reversal of 4131353000 is 3531314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1932305764 + 2199047236 = 43958^2 + 46894^2 .

It is a super-2 number, since 2×41313530002 = 34136155221218000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4131353003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2064677 + ... + 2066676.

Almost surely, 24131353000 is an apocalyptic number.

4131353000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4131353000 is an abundant number, since it is smaller than the sum of its proper divisors (5536015360).

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

4131353000 is a wasteful number, since it uses less digits than its factorization.

4131353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131374 (or 4131360 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 4131353000 is about 64275.6019030549. The cubic root of 4131353000 is about 1604.5900746256.

Adding to 4131353000 its reverse (3531314), we get a palindrome (4134884314).

The spelling of 4131353000 in words is "four billion, one hundred thirty-one million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 4131353 8262706 16525412 20656765 33050824 41313530 82627060 103283825 165254120 206567650 413135300 516419125 826270600 1032838250 2065676500 4131353000