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21111330324132 = 22331373631392957
BaseRepresentation
bin1001100110011010111010…
…10110000011111010100100
32202202020000220112101011000
410303031131112003322210
510231342001030333012
6112522224455513300
74306146305640246
oct463153526037244
982666026471130
1021111330324132
1167aa2a0662274
12244b625988830
13ba1a36570ac9
1452db18420096
1526924a3c4ddc
hex13335d583ea4

21111330324132 has 96 divisors (see below), whose sum is σ = 55147914339840. Its totient is φ = 6983802650880.

The previous prime is 21111330324121. The next prime is 21111330324167. The reversal of 21111330324132 is 23142303311112.

21111330324132 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 1 + 330 + 324 + 1 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21111330324096 and 21111330324105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53527798 + ... + 53920754.

It is an arithmetic number, because the mean of its divisors is an integer number (574457441040).

Almost surely, 221111330324132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21111330324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27573957169920).

21111330324132 is an abundant number, since it is smaller than the sum of its proper divisors (34036584015708).

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

21111330324132 is a wasteful number, since it uses less digits than its factorization.

21111330324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396738 (or 396730 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 21111330324132 its reverse (23142303311112), we get a palindrome (44253633635244).

The spelling of 21111330324132 in words is "twenty-one trillion, one hundred eleven billion, three hundred thirty million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 822 1233 1644 2466 3631 3699 4932 7262 7398 10893 14524 14796 21786 32679 43572 65358 98037 130716 196074 392148 392957 497447 785914 994894 1178871 1492341 1571828 1989788 2357742 2984682 3536613 4477023 4715484 5969364 7073226 8954046 10609839 13431069 14146452 17908092 21219678 26862138 42439356 53724276 53835109 107670218 161505327 215340436 323010654 484515981 646021308 969031962 1426826867 1453547943 1938063924 2853653734 2907095886 4280480601 5707307468 5814191772 8560961202 12841441803 17121922404 25682883606 38524325409 51365767212 77048650818 154097301636 195475280779 390950561558 586425842337 781901123116 1172851684674 1759277527011 2345703369348 3518555054022 5277832581033 7037110108044 10555665162066 21111330324132