Search a number
-
+
10100285 = 513211953
BaseRepresentation
bin100110100001…
…111000111101
3201000010222122
4212201320331
510041202120
61000252325
7151564616
oct46417075
921003878
1010100285
115779548
1234710a5
132128400
1414acc0d
15d47a25
hex9a1e3d

10100285 has 12 divisors (see below), whose sum is σ = 13125492. Its totient is φ = 7458048.

The previous prime is 10100273. The next prime is 10100287. The reversal of 10100285 is 58200101.

It can be written as a sum of positive squares in 6 ways, for example, as 502681 + 9597604 = 709^2 + 3098^2 .

It is not a de Polignac number, because 10100285 - 26 = 10100221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100287) 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 11 ways as a sum of consecutive naturals, for example, 5132 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (1093791).

Almost surely, 210100285 is an apocalyptic number.

It is an amenable number.

10100285 is a deficient number, since it is larger than the sum of its proper divisors (3025207).

10100285 is a wasteful number, since it uses less digits than its factorization.

10100285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11971 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 10100285 is about 3178.0945549181. The cubic root of 10100285 is about 216.1612664563.

Adding to 10100285 its reverse (58200101), we get a palindrome (68300386).

The spelling of 10100285 in words is "ten million, one hundred thousand, two hundred eighty-five".

Divisors: 1 5 13 65 169 845 11953 59765 155389 776945 2020057 10100285