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2014130010 = 2352347173359
BaseRepresentation
bin111100000001101…
…0010111101011010
312012100221101221210
41320003102331122
513111104130020
6531505443550
7100624552104
oct17003227532
95170841853
102014130010
11943a18762
124826405b6
13261383a09
141516d6574
15bbc543e0
hex780d2f5a

2014130010 has 128 divisors (see below), whose sum is σ = 5195612160. Its totient is φ = 498519296.

The previous prime is 2014130003. The next prime is 2014130071. The reversal of 2014130010 is 100314102.

It is a happy number.

2014130010 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5610211 + ... + 5610569.

It is an arithmetic number, because the mean of its divisors is an integer number (40590720).

Almost surely, 22014130010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597806080).

2014130010 is an abundant number, since it is smaller than the sum of its proper divisors (3181482150).

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

2014130010 is a wasteful number, since it uses less digits than its factorization.

2014130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2014130010 is about 44879.0598163553. The cubic root of 2014130010 is about 1262.8812058014.

Adding to 2014130010 its reverse (100314102), we get a palindrome (2114444112).

The spelling of 2014130010 in words is "two billion, fourteen million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 173 230 235 282 345 346 359 470 519 690 705 718 865 1038 1077 1081 1410 1730 1795 2154 2162 2595 3243 3590 3979 5190 5385 5405 6486 7958 8131 8257 10770 10810 11937 16215 16262 16514 16873 19895 23874 24393 24771 32430 33746 39790 40655 41285 48786 49542 50619 59685 62107 81310 82570 84365 101238 119370 121965 123855 124214 168730 186321 187013 243930 247710 253095 310535 372642 374026 388079 506190 561039 621070 776158 931605 935065 1122078 1164237 1428461 1863210 1870130 1940395 2328474 2805195 2856922 2919029 3880790 4285383 5610390 5821185 5838058 7142305 8570766 8757087 11642370 14284610 14595145 17514174 21426915 29190290 42853830 43785435 67137667 87570870 134275334 201413001 335688335 402826002 671376670 1007065005 2014130010