Search a number
-
+
2012003020212 = 2231789613180779
BaseRepresentation
bin11101010001110100101…
…110011010110110110100
321010100022221122110021020
4131101310232122312310
5230431040233121322
64140145035221140
7265235211331053
oct35216456326664
97110287573236
102012003020212
117063162855a9
12285b338a77b0
131179672157b3
146d54aa5639a
153750bb4805c
hex1d474b9adb4

2012003020212 has 96 divisors (see below), whose sum is σ = 5034911011200. Its totient is φ = 623102717952.

The previous prime is 2012003020207. The next prime is 2012003020231. The reversal of 2012003020212 is 2120203002102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2012003020191 and 2012003020200.

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 31 ways as a sum of consecutive naturals, for example, 11039239 + ... + 11220017.

It is an arithmetic number, because the mean of its divisors is an integer number (52446989700).

Almost surely, 22012003020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012003020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517455505600).

2012003020212 is an abundant number, since it is smaller than the sum of its proper divisors (3022907990988).

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

2012003020212 is a wasteful number, since it uses less digits than its factorization.

2012003020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181505 (or 181503 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2012003020212 its reverse (2120203002102), we get a palindrome (4132206022314).

The spelling of 2012003020212 in words is "two trillion, twelve billion, three million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 613 1068 1226 1513 1839 2452 3026 3678 4539 6052 7356 9078 10421 18156 20842 31263 41684 54557 62526 109114 125052 163671 180779 218228 327342 361558 542337 654684 723116 927469 1084674 1854938 2169348 2782407 3073243 3709876 5564814 6146486 9219729 11129628 12292972 16089331 18439458 32178662 36878916 48267993 64357324 96535986 110817527 193071972 221635054 273518627 332452581 443270108 547037254 664905162 820555881 1094074508 1329810324 1641111762 1883897959 3282223524 3767795918 5651693877 7535591836 9862759903 11303387754 19725519806 22606775508 29588279709 39451039612 59176559418 118353118836 167666918351 335333836702 503000755053 670667673404 1006001510106 2012003020212