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2213124242130 = 2325198631499681
BaseRepresentation
bin100000001101001000011…
…110111111101011010010
321211120110102201010002100
4200031020132333223102
5242224434301222010
64412410101101230
7315615165446454
oct40151036775322
97746412633070
102213124242130
11783642a3638a
122b8b029b7816
13130909905c99
14791899dc2d4
153c87d7462c0
hex203487bfad2

2213124242130 has 96 divisors (see below), whose sum is σ = 6063994160640. Its totient is φ = 558456837120.

The previous prime is 2213124242129. The next prime is 2213124242143. The reversal of 2213124242130 is 312424213122.

2213124242130 is a `hidden beast` number, since 2 + 2 + 13 + 12 + 424 + 213 + 0 = 666.

2213124242130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22131242421302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2213124242094 and 2213124242103.

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, 725890 + ... + 2225570.

It is an arithmetic number, because the mean of its divisors is an integer number (63166605840).

Almost surely, 22213124242130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213124242130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031997080320).

2213124242130 is an abundant number, since it is smaller than the sum of its proper divisors (3850869918510).

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

2213124242130 is a wasteful number, since it uses less digits than its factorization.

2213124242130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500576 (or 1500573 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2213124242130 its reverse (312424213122), we get a palindrome (2525548455252).

The spelling of 2213124242130 in words is "two trillion, two hundred thirteen billion, one hundred twenty-four million, two hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 863 1710 1726 2589 4315 5178 7767 8630 12945 15534 16397 25890 32794 38835 49191 77670 81985 98382 147573 163970 245955 295146 491910 737865 1475730 1499681 2999362 4499043 7498405 8998086 13497129 14996810 22495215 26994258 28493939 44990430 56987878 67485645 85481817 134971290 142469695 170963634 256445451 284939390 427409085 512890902 854818170 1282227255 1294224703 2564454510 2588449406 3882674109 6471123515 7765348218 11648022327 12942247030 19413370545 23296044654 24590269357 38826741090 49180538714 58240111635 73770808071 116480223270 122951346785 147541616142 221312424213 245902693570 368854040355 442624848426 737708080710 1106562121065 2213124242130