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20332112130 = 2345115938677
BaseRepresentation
bin10010111011111000…
…110110100100000010
31221110222110022110000
4102323320312210002
5313120010042010
613201311420430
71316564046561
oct227370664402
957428408400
1020332112130
118693a46860
123b35224716
131bc0439ba5
14dac457bd8
157deebe7c0
hex4bbe36902

20332112130 has 160 divisors (see below), whose sum is σ = 60653292480. Its totient is φ = 4845329280.

The previous prime is 20332112113. The next prime is 20332112137. The reversal of 20332112130 is 3121123302.

20332112130 is a `hidden beast` number, since 203 + 321 + 12 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20332112137) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 506352 + ... + 545028.

It is an arithmetic number, because the mean of its divisors is an integer number (379083078).

Almost surely, 220332112130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326646240).

20332112130 is an abundant number, since it is smaller than the sum of its proper divisors (40321180350).

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

20332112130 is a wasteful number, since it uses less digits than its factorization.

20332112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38766 (or 38757 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20332112130 its reverse (3121123302), we get a palindrome (23453235432).

The spelling of 20332112130 in words is "twenty billion, three hundred thirty-two million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 59 66 81 90 99 110 118 135 162 165 177 198 270 295 297 330 354 405 495 531 590 594 649 810 885 891 990 1062 1298 1485 1593 1770 1782 1947 2655 2970 3186 3245 3894 4455 4779 5310 5841 6490 7965 8910 9558 9735 11682 15930 17523 19470 23895 29205 35046 38677 47790 52569 58410 77354 87615 105138 116031 175230 193385 232062 262845 348093 386770 425447 525690 580155 696186 850894 1044279 1160310 1276341 1740465 2088558 2127235 2281943 2552682 3132837 3480930 3829023 4254470 4563886 5221395 6265674 6381705 6845829 7658046 10442790 11409715 11487069 12763410 13691658 15664185 19145115 20537487 22819430 22974138 25101373 31328370 34229145 34461207 38290230 41074974 50202746 57435345 61612461 68458290 68922414 75304119 102687435 114870690 123224922 125506865 150608238 172306035 184837383 205374870 225912357 251013730 308062305 344612070 369674766 376520595 451824714 616124610 677737071 753041190 924186915 1129561785 1355474142 1848373830 2033211213 2259123570 3388685355 4066422426 6777370710 10166056065 20332112130