Search a number
-
+
20132430240420 = 22335251148534973
BaseRepresentation
bin1001001001111011100100…
…10110100101101010100100
32122021122022200022202102000
410210331302112211222210
510114322204120143140
6110452413305445300
74145343250342161
oct444756226455244
978248280282360
1020132430240420
116462130023823
1223119721a0830
13b30631801744
144d85b43b9068
1524da56245a30
hex124f725a5aa4

20132430240420 has 96 divisors (see below), whose sum is σ = 62883766592640. Its totient is φ = 5347258992000.

The previous prime is 20132430240389. The next prime is 20132430240463. The reversal of 20132430240420 is 2404203423102.

20132430240420 is a `hidden beast` number, since 2 + 0 + 13 + 243 + 0 + 2 + 404 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74131947 + ... + 74403026.

It is an arithmetic number, because the mean of its divisors is an integer number (655039235340).

Almost surely, 220132430240420 is an apocalyptic number.

20132430240420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132430240420 is an abundant number, since it is smaller than the sum of its proper divisors (42751336352220).

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

20132430240420 is a wasteful number, since it uses less digits than its factorization.

20132430240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148535242 (or 148535234 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20132430240420 its reverse (2404203423102), we get a palindrome (22536633663522).

The spelling of 20132430240420 in words is "twenty trillion, one hundred thirty-two billion, four hundred thirty million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 251 270 502 540 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 6777 7530 9036 11295 13554 15060 22590 27108 33885 45180 67770 135540 148534973 297069946 445604919 594139892 742674865 891209838 1336814757 1485349730 1782419676 2228024595 2673629514 2970699460 4010444271 4456049190 5347259028 6684073785 8020888542 8912098380 13368147570 16041777084 20052221355 26736295140 37282278223 40104442710 74564556446 80208885420 111846834669 149129112892 186411391115 223693669338 335540504007 372822782230 447387338676 559234173345 671081008014 745645564460 1006621512021 1118468346690 1342162016028 1677702520035 2013243024042 2236936693380 3355405040070 4026486048084 5033107560105 6710810080140 10066215120210 20132430240420