Search a number
-
+
180012012 = 22315001001
BaseRepresentation
bin10101011101011…
…00001111101100
3110112201120001120
422232230033230
5332040341022
625510140540
74314035235
oct1256541754
9415646046
10180012012
1192680764
1250351750
132b3a94ab
1419c9c08c
1510c0bd5c
hexabac3ec

180012012 has 12 divisors (see below), whose sum is σ = 420028056. Its totient is φ = 60004000.

The previous prime is 180012011. The next prime is 180012029. The reversal of 180012012 is 210210081.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

180012012 is a modest number, since divided by 12012 gives 180 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 180011982 and 180012000.

It is not an unprimeable number, because it can be changed into a prime (180012011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7500489 + ... + 7500512.

It is an arithmetic number, because the mean of its divisors is an integer number (35002338).

Almost surely, 2180012012 is an apocalyptic number.

180012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180012012 is an abundant number, since it is smaller than the sum of its proper divisors (240016044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180012012 is a wasteful number, since it uses less digits than its factorization.

180012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15001008 (or 15001006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 180012012 is about 13416.8555183396. The cubic root of 180012012 is about 564.6341767434.

Adding to 180012012 its reverse (210210081), we get a palindrome (390222093).

The spelling of 180012012 in words is "one hundred eighty million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 15001001 30002002 45003003 60004004 90006006 180012012