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2014201125 = 32531790401
BaseRepresentation
bin111100000001110…
…0100010100100101
312012101002000111200
41320003210110211
513111113414000
6531511153113
7100625266326
oct17003442445
95171060450
102014201125
11943a67132
12482675799
132613aa1b1
1415171444d
15bbc6a500
hex780e4525

2014201125 has 24 divisors (see below), whose sum is σ = 3630935256. Its totient is φ = 1074240000.

The previous prime is 2014201117. The next prime is 2014201127. The reversal of 2014201125 is 5211024102.

It can be written as a sum of positive squares in 4 ways, for example, as 69655716 + 1944545409 = 8346^2 + 44097^2 .

It is not a de Polignac number, because 2014201125 - 23 = 2014201117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2014201098 and 2014201107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894076 + ... + 896325.

It is an arithmetic number, because the mean of its divisors is an integer number (151288969).

Almost surely, 22014201125 is an apocalyptic number.

2014201125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2014201125 is a deficient number, since it is larger than the sum of its proper divisors (1616734131).

2014201125 is a wasteful number, since it uses less digits than its factorization.

2014201125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790422 (or 1790409 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2014201125 is about 44879.8521053713. The cubic root of 2014201125 is about 1262.8960689168.

Adding to 2014201125 its reverse (5211024102), we get a palindrome (7225225227).

The spelling of 2014201125 in words is "two billion, fourteen million, two hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1790401 5371203 8952005 16113609 26856015 44760025 80568045 134280075 223800125 402840225 671400375 2014201125