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2011310312 = 231129827953
BaseRepresentation
bin111011111100010…
…0010100011101000
312012011122011001112
41313320202203220
513104343412222
6531325205452
7100561566314
oct16770424350
95164564045
102011310312
11942372230
12481700888
1326090745b
141511a0b44
15bb898be2
hex77e228e8

2011310312 has 64 divisors (see below), whose sum is σ = 4265524800. Its totient is φ = 880714240.

The previous prime is 2011310299. The next prime is 2011310363. The reversal of 2011310312 is 2130131102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110028 + ... + 2110980.

It is an arithmetic number, because the mean of its divisors is an integer number (66648825).

Almost surely, 22011310312 is an apocalyptic number.

2011310312 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 2011310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132762400).

2011310312 is an abundant number, since it is smaller than the sum of its proper divisors (2254214488).

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

2011310312 is a wasteful number, since it uses less digits than its factorization.

2011310312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2011310312 is about 44847.6344080711. The cubic root of 2011310312 is about 1262.2916035728.

Adding to 2011310312 its reverse (2130131102), we get a palindrome (4141441414).

The spelling of 2011310312 in words is "two billion, eleven million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 827 953 1276 1654 1906 2552 3308 3812 6616 7624 9097 10483 18194 20966 23983 27637 36388 41932 47966 55274 72776 83864 95932 110548 191864 221096 263813 304007 527626 608014 788131 1055252 1216028 1576262 2110504 2432056 3152524 6305048 8669441 17338882 22855799 34677764 45711598 69355528 91423196 182846392 251413789 502827578 1005655156 2011310312