Search a number
-
+
10188031 = 72533923
BaseRepresentation
bin100110110111…
…010011111111
3201011121100111
4212313103333
510102004111
61002210451
7152411500
oct46672377
921147314
1010188031
115829467
1234b3a27
132159329
1414d2ba7
15d63a21
hex9b74ff

10188031 has 12 divisors (see below), whose sum is σ = 12078072. Its totient is φ = 8565648.

The previous prime is 10188029. The next prime is 10188041. The reversal of 10188031 is 13088101.

It is not a de Polignac number, because 10188031 - 21 = 10188029 is a prime.

It is a super-2 number, since 2×101880312 = 207591951313922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10187993 and 10188011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188041) 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 11 ways as a sum of consecutive naturals, for example, 636 + ... + 4558.

It is an arithmetic number, because the mean of its divisors is an integer number (1006506).

Almost surely, 210188031 is an apocalyptic number.

10188031 is a deficient number, since it is larger than the sum of its proper divisors (1890041).

10188031 is an equidigital number, since it uses as much as digits as its factorization.

10188031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

The square root of 10188031 is about 3191.8695148768. The cubic root of 10188031 is about 216.7854278569.

The spelling of 10188031 in words is "ten million, one hundred eighty-eight thousand, thirty-one".

Divisors: 1 7 49 53 371 2597 3923 27461 192227 207919 1455433 10188031