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2010313312 = 25741713083
BaseRepresentation
bin111011111010010…
…1111001001100000
312012002202111102121
41313310233021200
513104120011222
6531251554024
7100550244520
oct16764571140
95162674377
102010313312
11941851167
124812bb914
13260648707
14150dc1680
15bb74d5c7
hex77d2f260

2010313312 has 96 divisors (see below), whose sum is σ = 4700312064. Its totient is φ = 828441600.

The previous prime is 2010313307. The next prime is 2010313337. The reversal of 2010313312 is 2133130102.

It is a super-2 number, since 2×20103133122 = 8082719224808818688, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650523 + ... + 653605.

It is an arithmetic number, because the mean of its divisors is an integer number (48961584).

Almost surely, 22010313312 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 2010313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350156032).

2010313312 is an abundant number, since it is smaller than the sum of its proper divisors (2689998752).

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

2010313312 is a wasteful number, since it uses less digits than its factorization.

2010313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2010313312 is about 44836.5176167820. The cubic root of 2010313312 is about 1262.0829978156.

Adding to 2010313312 its reverse (2133130102), we get a palindrome (4143443414).

The spelling of 2010313312 in words is "two billion, ten million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 71 82 112 142 164 224 284 287 328 497 568 574 656 994 1136 1148 1312 1988 2272 2296 2911 3083 3976 4592 5822 6166 7952 9184 11644 12332 15904 20377 21581 23288 24664 40754 43162 46576 49328 81508 86324 93152 98656 126403 163016 172648 218893 252806 326032 345296 437786 505612 652064 690592 875572 884821 1011224 1532251 1751144 1769642 2022448 3064502 3502288 3539284 4044896 6129004 7004576 7078568 8974613 12258008 14157136 17949226 24516016 28314272 35898452 49032032 62822291 71796904 125644582 143593808 251289164 287187616 502578328 1005156656 2010313312