Search a number
-
+
10003120201 = 53892120653
BaseRepresentation
bin10010101000011101…
…11000000001001001
3221211010122011020101
421110032320001021
5130441244321301
64332333325401
7502613055514
oct112416700111
927733564211
1010003120201
114273556298
121b32036861
13c35540749
146ac735d7b
153d82c7701
hex2543b8049

10003120201 has 8 divisors (see below), whose sum is σ = 10306378440. Its totient is φ = 9704103552.

The previous prime is 10003120189. The next prime is 10003120213. The reversal of 10003120201 is 10202130001.

It is an interprime number because it is at equal distance from previous prime (10003120189) and next prime (10003120213).

It can be written as a sum of positive squares in 4 ways, for example, as 67815225 + 9935304976 = 8235^2 + 99676^2 .

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 10003120201 - 231 = 7855636553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003120241) 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 7 ways as a sum of consecutive naturals, for example, 1055610 + ... + 1065043.

It is an arithmetic number, because the mean of its divisors is an integer number (1288297305).

Almost surely, 210003120201 is an apocalyptic number.

It is an amenable number.

10003120201 is a deficient number, since it is larger than the sum of its proper divisors (303258239).

10003120201 is an equidigital number, since it uses as much as digits as its factorization.

10003120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120795.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10003120201 its reverse (10202130001), we get a palindrome (20205250202).

The spelling of 10003120201 in words is "ten billion, three million, one hundred twenty thousand, two hundred one".

Divisors: 1 53 89 4717 2120653 112394609 188738117 10003120201