Search a number
-
+
20172031 = 112433877
BaseRepresentation
bin100110011110…
…0110011111111
31101221211211021
41030330303333
520131001111
62000205011
7333313405
oct114746377
941854737
1020172031
1110428600
126909767
134243819
142971475
151b86d71
hex133ccff

20172031 has 12 divisors (see below), whose sum is σ = 22694056. Its totient is φ = 17907120.

The previous prime is 20172007. The next prime is 20172037. The reversal of 20172031 is 13027102.

It is a happy number.

It is not a de Polignac number, because 20172031 - 213 = 20163839 is a prime.

It is a super-2 number, since 2×201720312 = 813821669329922, which contains 22 as substring.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 20171996 and 20172014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20172037) 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, 3265 + ... + 7141.

Almost surely, 220172031 is an apocalyptic number.

20172031 is a deficient number, since it is larger than the sum of its proper divisors (2522025).

20172031 is a wasteful number, since it uses less digits than its factorization.

20172031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 20172031 is about 4491.3284226385. The cubic root of 20172031 is about 272.2178141048.

Adding to 20172031 its reverse (13027102), we get a palindrome (33199133).

Subtracting from 20172031 its reverse (13027102), we obtain a square (7144929 = 26732).

The spelling of 20172031 in words is "twenty million, one hundred seventy-two thousand, thirty-one".

Divisors: 1 11 43 121 473 3877 5203 42647 166711 469117 1833821 20172031