[go: up one dir, main page]

Search a number
-
+
2012352012 = 223611431459
BaseRepresentation
bin111011111110010…
…0000111000001100
312012020121002000000
41313330200320030
513110130231022
6531403404300
7100603465326
oct16774407014
95166532000
102012352012
11942a13940
12481b23690
13260bb0648
14151392616
15bba026ac
hex77f20e0c

2012352012 has 168 divisors, whose sum is σ = 5898002880. Its totient is φ = 595213920.

The previous prime is 2012351981. The next prime is 2012352029. The reversal of 2012352012 is 2102532102.

2012352012 is a `hidden beast` number, since 20 + 123 + 520 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1378539 + ... + 1379997.

It is an arithmetic number, because the mean of its divisors is an integer number (35107160).

Almost surely, 22012352012 is an apocalyptic number.

2012352012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012352012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949001440).

2012352012 is an abundant number, since it is smaller than the sum of its proper divisors (3885650868).

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

2012352012 is a wasteful number, since it uses less digits than its factorization.

2012352012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2012352012 is about 44859.2466722302. The cubic root of 2012352012 is about 1262.5094884364.

Adding to 2012352012 its reverse (2102532102), we get a palindrome (4114884114).

The spelling of 2012352012 in words is "two billion, twelve million, three hundred fifty-two thousand, twelve".