[go: up one dir, main page]

Search a number
-
+
10100017 = 31325807
BaseRepresentation
bin100110100001…
…110100110001
3201000010121201
4212201310301
510041200032
61000251201
7151564054
oct46416461
921003551
1010100017
115779324
123470b01
132128255
1414aca9b
15d478e7
hex9a1d31

10100017 has 4 divisors (see below), whose sum is σ = 10425856. Its totient is φ = 9774180.

The previous prime is 10100011. The next prime is 10100047. The reversal of 10100017 is 71000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 71000101 = 671059703.

It is a cyclic number.

It is not a de Polignac number, because 10100017 - 23 = 10100009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10099976 and 10100012.

It is not an unprimeable number, because it can be changed into a prime (10100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162873 + ... + 162934.

It is an arithmetic number, because the mean of its divisors is an integer number (2606464).

Almost surely, 210100017 is an apocalyptic number.

It is an amenable number.

10100017 is a deficient number, since it is larger than the sum of its proper divisors (325839).

10100017 is an equidigital number, since it uses as much as digits as its factorization.

10100017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325838.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 10100017 is about 3178.0523910093. The cubic root of 10100017 is about 216.1593545719.

Adding to 10100017 its reverse (71000101), we get a palindrome (81100118).

The spelling of 10100017 in words is "ten million, one hundred thousand, seventeen".

Divisors: 1 31 325807 10100017