Search a number
-
+
20131012 = 2211241593
BaseRepresentation
bin100110011001…
…0110011000100
31101212202120001
41030302303010
520123143022
61555251044
7333052666
oct114626304
941782501
1020131012
11103aa800
1268a9a84
13422ac55
142960536
151b79b27
hex1332cc4

20131012 has 18 divisors (see below), whose sum is σ = 38724014. Its totient is φ = 9150240.

The previous prime is 20130983. The next prime is 20131019. The reversal of 20131012 is 21013102.

It can be written as a sum of positive squares in only one way, i.e., 14485636 + 5645376 = 3806^2 + 2376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20131012.

It is not an unprimeable number, because it can be changed into a prime (20131019) 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 5 ways as a sum of consecutive naturals, for example, 20313 + ... + 21280.

Almost surely, 220131012 is an apocalyptic number.

20131012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20131012 is a deficient number, since it is larger than the sum of its proper divisors (18593002).

20131012 is a wasteful number, since it uses less digits than its factorization.

20131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41619 (or 41606 counting only the distinct ones).

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

The square root of 20131012 is about 4486.7596325188. The cubic root of 20131012 is about 272.0331742986.

Adding to 20131012 its reverse (21013102), we get a palindrome (41144114).

It can be divided in two parts, 2013 and 1012, that added together give a square (3025 = 552).

The spelling of 20131012 in words is "twenty million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 4 11 22 44 121 242 484 41593 83186 166372 457523 915046 1830092 5032753 10065506 20131012