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2012316930 = 23251310117029
BaseRepresentation
bin111011111110001…
…1000010100000010
312012020112021212200
41313330120110002
513110123120210
6531402534030
7100603261131
oct16774302402
95166467780
102012316930
1194299a548
12481b07316
13260b9a6a0
14151383918
15bb9e70c0
hex77f18502

2012316930 has 96 divisors (see below), whose sum is σ = 5690608560. Its totient is φ = 490406400.

The previous prime is 2012316883. The next prime is 2012316937. The reversal of 2012316930 is 396132102.

It can be written as a sum of positive squares in 8 ways, for example, as 1374703929 + 637613001 = 37077^2 + 25251^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2012316894 and 2012316903.

It is not an unprimeable number, because it can be changed into a prime (2012316937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109656 + ... + 126684.

Almost surely, 22012316930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012316930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845304280).

2012316930 is an abundant number, since it is smaller than the sum of its proper divisors (3678291630).

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

2012316930 is a wasteful number, since it uses less digits than its factorization.

2012316930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17156 (or 17153 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2012316930 is about 44858.8556474639. The cubic root of 2012316930 is about 1262.5021518115.

The spelling of 2012316930 in words is "two billion, twelve million, three hundred sixteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 117 130 195 202 234 303 390 505 585 606 909 1010 1170 1313 1515 1818 2626 3030 3939 4545 6565 7878 9090 11817 13130 17029 19695 23634 34058 39390 51087 59085 85145 102174 118170 153261 170290 221377 255435 306522 442754 510870 664131 766305 1106885 1328262 1532610 1719929 1992393 2213770 3320655 3439858 3984786 5159787 6641310 8599645 9961965 10319574 15479361 17199290 19923930 22359077 25798935 30958722 44718154 51597870 67077231 77396805 111795385 134154462 154793610 201231693 223590770 335386155 402463386 670772310 1006158465 2012316930