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2130124086 = 2321941732081
BaseRepresentation
bin111111011110111…
…0001110100110110
312111110012111220200
41332331301310312
513330302432321
6551211541330
7103533520206
oct17675616466
95443174820
102130124086
119a3443832
124b545a846
1327c40746c
14162c8c406
15c7017d26
hex7ef71d36

2130124086 has 96 divisors (see below), whose sum is σ = 5047267680. Its totient is φ = 646963200.

The previous prime is 2130124019. The next prime is 2130124097. The reversal of 2130124086 is 6804210312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022566 + ... + 1024646.

It is an arithmetic number, because the mean of its divisors is an integer number (52575705).

Almost surely, 22130124086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130124086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523633840).

2130124086 is an abundant number, since it is smaller than the sum of its proper divisors (2917143594).

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

2130124086 is a wasteful number, since it uses less digits than its factorization.

2130124086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2130124086 is about 46153.2673382936. The cubic root of 2130124086 is about 1286.6733358790.

Adding to 2130124086 its reverse (6804210312), we get a palindrome (8934334398).

The spelling of 2130124086 in words is "two billion, one hundred thirty million, one hundred twenty-four thousand, eighty-six".

Divisors: 1 2 3 6 9 18 19 38 41 57 73 82 114 123 146 171 219 246 342 369 438 657 738 779 1314 1387 1558 2081 2337 2774 2993 4161 4162 4674 5986 6243 7011 8322 8979 12483 12486 14022 17958 18729 24966 26937 37458 39539 53874 56867 79078 85321 113734 118617 151913 170601 170642 237234 255963 303826 341202 355851 455739 511803 511926 711702 767889 911478 1023606 1367217 1535778 1621099 2734434 2886347 3242198 4863297 5772694 6228433 8659041 9726594 12456866 14589891 17318082 18685299 25977123 29179782 37370598 51954246 56055897 112111794 118340227 236680454 355020681 710041362 1065062043 2130124086