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200125325201 = 17371132815613
BaseRepresentation
bin1011101001100001100…
…1100001111110010001
3201010120002002212100112
42322120121201332101
511234324040401301
6231534124131105
720313202124414
oct2723031417621
9633502085315
10200125325201
117796658a94a
1232951696a95
1315b4428bbb9
1499869c5b7b
15531447c9bb
hex2e98661f91

200125325201 has 16 divisors (see below), whose sum is σ = 219550317264. Its totient is φ = 181640761344.

The previous prime is 200125325177. The next prime is 200125325219. The reversal of 200125325201 is 102523521002.

200125325201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 920212225 + 199205112976 = 30335^2 + 446324^2 .

It is a cyclic number.

It is not a de Polignac number, because 200125325201 - 210 = 200125324177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200125327201) 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 15 ways as a sum of consecutive naturals, for example, 1336730 + ... + 1478883.

It is an arithmetic number, because the mean of its divisors is an integer number (13721894829).

Almost surely, 2200125325201 is an apocalyptic number.

It is an amenable number.

200125325201 is a deficient number, since it is larger than the sum of its proper divisors (19424992063).

200125325201 is a wasteful number, since it uses less digits than its factorization.

200125325201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815780.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 200125325201 its reverse (102523521002), we get a palindrome (302648846203).

The spelling of 200125325201 in words is "two hundred billion, one hundred twenty-five million, three hundred twenty-five thousand, two hundred one".

Divisors: 1 17 37 113 629 1921 4181 71077 2815613 47865421 104177681 318164269 1771020577 5408792573 11772077953 200125325201