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2010131130 = 2357109137641
BaseRepresentation
bin111011111010000…
…0010101010111010
312012002102020112010
41313310002222322
513104043144010
6531244030350
7100545555420
oct16764025272
95162366463
102010131130
119417372a7
124812323b6
132605b3807
14150d75110
15bb714620
hex77d02aba

2010131130 has 128 divisors (see below), whose sum is σ = 5613442560. Its totient is φ = 451215360.

The previous prime is 2010131129. The next prime is 2010131141. The reversal of 2010131130 is 311310102.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 3135610 + ... + 3136250.

It is an arithmetic number, because the mean of its divisors is an integer number (43855020).

Almost surely, 22010131130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806721280).

2010131130 is an abundant number, since it is smaller than the sum of its proper divisors (3603311430).

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

2010131130 is a wasteful number, since it uses less digits than its factorization.

2010131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 2010131130 is about 44834.4859455308. The cubic root of 2010131130 is about 1262.0448717933.

Adding to 2010131130 its reverse (311310102), we get a palindrome (2321441232).

The spelling of 2010131130 in words is "two billion, ten million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 109 137 210 218 274 327 411 545 641 654 685 763 822 959 1090 1282 1370 1526 1635 1918 1923 2055 2289 2877 3205 3270 3815 3846 4110 4487 4578 4795 5754 6410 7630 8974 9590 9615 11445 13461 14385 14933 19230 22435 22890 26922 28770 29866 44799 44870 67305 69869 74665 87817 89598 104531 134610 139738 149330 175634 209062 209607 223995 263451 313593 349345 419214 439085 447990 489083 522655 526902 614719 627186 698690 878170 978166 1045310 1048035 1229438 1317255 1467249 1567965 1844157 2096070 2445415 2634510 2934498 3073595 3135930 3688314 4890830 6147190 7336245 9220785 9572053 14672490 18441570 19144106 28716159 47860265 57432318 67004371 95720530 134008742 143580795 201013113 287161590 335021855 402026226 670043710 1005065565 2010131130