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2141541125 = 5321378017
BaseRepresentation
bin111111110100101…
…0101001100000101
312112020200120010222
41333221111030011
513341213304000
6552300354125
7104032541063
oct17751251405
95466616128
102141541125
119a99315a9
124b9245945
132818a3cc9
141645c1033
15c8020a85
hex7fa55305

2141541125 has 16 divisors (see below), whose sum is σ = 2674227504. Its totient is φ = 1712217600.

The previous prime is 2141541049. The next prime is 2141541131. The reversal of 2141541125 is 5211451412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1212571684 + 928969441 = 34822^2 + 30479^2 .

It is not a de Polignac number, because 2141541125 - 214 = 2141524741 is a prime.

It is a super-3 number, since 3×21415411253 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2141541094 and 2141541103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263117 + ... + 271133.

It is an arithmetic number, because the mean of its divisors is an integer number (167139219).

Almost surely, 22141541125 is an apocalyptic number.

2141541125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2141541125 is a deficient number, since it is larger than the sum of its proper divisors (532686379).

2141541125 is an equidigital number, since it uses as much as digits as its factorization.

2141541125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169 (or 10159 counting only the distinct ones).

The product of its digits is 1600, while the sum is 26.

The square root of 2141541125 is about 46276.7881880322. The cubic root of 2141541125 is about 1288.9680116478.

Adding to 2141541125 its reverse (5211451412), we get a palindrome (7352992537).

The spelling of 2141541125 in words is "two billion, one hundred forty-one million, five hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 2137 8017 10685 40085 53425 200425 267125 1002125 17132329 85661645 428308225 2141541125