Search a number
-
+
2012000012220 = 2235113048484867
BaseRepresentation
bin11101010001110100100…
…010111100011110111100
321010100022201222122002010
4131101310202330132330
5230431034000342340
64140144450531220
7265235143632312
oct35216442743674
97110281878063
102012000012220
11706314610660
12285b32896b10
13117966701613
146d54a4b20b2
153750b751b80
hex1d4748bc7bc

2012000012220 has 48 divisors (see below), whose sum is σ = 6145745493888. Its totient is φ = 487757578560.

The previous prime is 2012000012167. The next prime is 2012000012251. The reversal of 2012000012220 is 222100002102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2012000012196 and 2012000012205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524241774 + ... + 1524243093.

It is an arithmetic number, because the mean of its divisors is an integer number (128036364456).

Almost surely, 22012000012220 is an apocalyptic number.

2012000012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012000012220 is an abundant number, since it is smaller than the sum of its proper divisors (4133745481668).

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

2012000012220 is a wasteful number, since it uses less digits than its factorization.

2012000012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048484890 (or 3048484888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2012000012220 its reverse (222100002102), we get a palindrome (2234100014322).

The spelling of 2012000012220 in words is "two trillion, twelve billion, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3048484867 6096969734 9145454601 12193939468 15242424335 18290909202 30484848670 33533333537 36581818404 45727273005 60969697340 67066667074 91454546010 100600000611 134133334148 167666667685 182909092020 201200001222 335333335370 402400002444 503000003055 670666670740 1006000006110 2012000012220