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20132241413100 = 2235279849461663
BaseRepresentation
bin1001001001111011001110…
…00110010001001111101100
32122021121211112000100000120
410210331213012101033230
510114321312300204400
6110452342442324540
74145335465340205
oct444754706211754
978247745010016
1020132241413100
116462043481a93
12231191aab9750
13b306016599bb
144d85972a45ac
1524da44896ca0
hex124f671913ec

20132241413100 has 72 divisors (see below), whose sum is σ = 58986617948160. Its totient is φ = 5300640770880.

The previous prime is 20132241413093. The next prime is 20132241413183. The reversal of 20132241413100 is 131414223102.

It is a super-2 number, since 2×201322414131002 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 424707132 + ... + 424754531.

Almost surely, 220132241413100 is an apocalyptic number.

20132241413100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132241413100 is an abundant number, since it is smaller than the sum of its proper divisors (38854376535060).

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

20132241413100 is a wasteful number, since it uses less digits than its factorization.

20132241413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849461759 (or 849461752 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 20132241413100 its reverse (131414223102), we get a palindrome (20263655636202).

The spelling of 20132241413100 in words is "twenty trillion, one hundred thirty-two billion, two hundred forty-one million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 23700 849461663 1698923326 2548384989 3397846652 4247308315 5096769978 8494616630 10193539956 12741924945 16989233260 21236541575 25483849890 42473083150 50967699780 63709624725 67107471377 84946166300 127419249450 134214942754 201322414131 254838498900 268429885508 335537356885 402644828262 671074713770 805289656524 1006612070655 1342149427540 1677686784425 2013224141310 3355373568850 4026448282620 5033060353275 6710747137700 10066120706550 20132241413100