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2011320012 = 2231319432367
BaseRepresentation
bin111011111100010…
…0100111011001100
312012011122122100210
41313320210323030
513104344220022
6531325322420
7100561636512
oct16770447314
95164578323
102011320012
11942379549
12481706410
1326090b9b0
141511a44b2
15bb89ba0c
hex77e24ecc

2011320012 has 144 divisors (see below), whose sum is σ = 5461532160. Its totient is φ = 571100544.

The previous prime is 2011319987. The next prime is 2011320029. The reversal of 2011320012 is 2100231102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2011320012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5480253 + ... + 5480619.

Almost surely, 22011320012 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 2011320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730766080).

2011320012 is an abundant number, since it is smaller than the sum of its proper divisors (3450212148).

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

2011320012 is a wasteful number, since it uses less digits than its factorization.

2011320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011320012 is about 44847.7425518833. The cubic root of 2011320012 is about 1262.2936327987.

Adding to 2011320012 its reverse (2100231102), we get a palindrome (4111551114).

The spelling of 2011320012 in words is "two billion, eleven million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 43 52 57 76 78 86 114 129 156 172 228 247 258 367 494 516 559 734 741 817 988 1101 1118 1468 1482 1634 1677 1849 2202 2236 2451 2964 3268 3354 3698 4404 4771 4902 5547 6708 6973 7396 9542 9804 10621 11094 13946 14313 15781 19084 20919 21242 22188 24037 27892 28626 31562 31863 35131 41838 42484 47343 48074 57252 63124 63726 70262 72111 83676 90649 94686 96148 105393 127452 140524 144222 181298 189372 205153 210786 271947 288444 299839 362596 410306 421572 456703 543894 599678 615459 678583 820612 899517 913406 1087788 1199356 1230918 1357166 1370109 1799034 1826812 2035749 2461836 2714332 2740218 3598068 3897907 4071498 5480436 7795814 8142996 8821579 11693721 12893077 15591628 17643158 23387442 25786154 26464737 35286316 38679231 46774884 51572308 52929474 77358462 105858948 154716924 167610001 335220002 502830003 670440004 1005660006 2011320012