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2012311312 = 241124992083
BaseRepresentation
bin111011111110001…
…0110111100010000
312012020112000011121
41313330112330100
513110122430222
6531402452024
7100603235554
oct16774267420
95166460147
102012311312
11942996300
12481b04014
13260b97c6b
14151381864
15bb9e55c7
hex77f16f10

2012311312 has 60 divisors (see below), whose sum is σ = 4296166000. Its totient is φ = 912415680.

The previous prime is 2012311307. The next prime is 2012311333. The reversal of 2012311312 is 2131132102.

It is a super-2 number, since 2×20123113122 = 8098793632806322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965023 + ... + 967105.

Almost surely, 22012311312 is an apocalyptic number.

2012311312 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 2012311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148083000).

2012311312 is an abundant number, since it is smaller than the sum of its proper divisors (2283854688).

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

2012311312 is a wasteful number, since it uses less digits than its factorization.

2012311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2012311312 is about 44858.7930287920. The cubic root of 2012311312 is about 1262.5009769231.

Adding to 2012311312 its reverse (2131132102), we get a palindrome (4143443414).

The spelling of 2012311312 in words is "two billion, twelve million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 499 968 998 1936 1996 2083 3992 4166 5489 7984 8332 10978 16664 21956 22913 33328 43912 45826 60379 87824 91652 120758 183304 241516 252043 366608 483032 504086 966064 1008172 1039417 2016344 2078834 4032688 4157668 8315336 11433587 16630672 22867174 45734348 91468696 125769457 182937392 251538914 503077828 1006155656 2012311312