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10120303201 = 175311232301
BaseRepresentation
bin10010110110011011…
…11001001001100001
3222010022010200002111
421123031321021201
5131211244200301
64352121115321
7505535105101
oct113315711141
928108120074
1010120303201
114323713648
121b65328b41
13c538bc3b8
146c011b201
153e3723551
hex25b379261

10120303201 has 8 divisors (see below), whose sum is σ = 10917797544. Its totient is φ = 9345273600.

The previous prime is 10120303189. The next prime is 10120303223. The reversal of 10120303201 is 10230302101.

10120303201 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 4 ways, for example, as 7329928225 + 2790374976 = 85615^2 + 52824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120303201 - 25 = 10120303169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120303261) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5615250 + ... + 5617051.

It is an arithmetic number, because the mean of its divisors is an integer number (1364724693).

Almost surely, 210120303201 is an apocalyptic number.

It is an amenable number.

10120303201 is a deficient number, since it is larger than the sum of its proper divisors (797494343).

10120303201 is a wasteful number, since it uses less digits than its factorization.

10120303201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232371.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10120303201 its reverse (10230302101), we get a palindrome (20350605302).

The spelling of 10120303201 in words is "ten billion, one hundred twenty million, three hundred three thousand, two hundred one".

Divisors: 1 17 53 901 11232301 190949117 595311953 10120303201