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21241432121220 = 22325118007956229
BaseRepresentation
bin1001101010001101010000…
…00001000001111110000100
32210012122211221000110010100
410311012220001001332010
510241004423110334340
6113102102412524100
74321433326653153
oct465065001017604
983178757013110
1021241432121220
11684a493740023
122470894780630
13bb109b5680ac
1453613b22759a
1526c812145830
hex1351a8041f84

21241432121220 has 36 divisors (see below), whose sum is σ = 64432344101580. Its totient is φ = 5664381898944.

The previous prime is 21241432121209. The next prime is 21241432121233. The reversal of 21241432121220 is 2212123414212.

21241432121220 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 432 + 1 + 2 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5555269869444 + 15686162251776 = 2356962^2 + 3960576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59003977935 + ... + 59003978294.

It is an arithmetic number, because the mean of its divisors is an integer number (1789787336155).

Almost surely, 221241432121220 is an apocalyptic number.

21241432121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21241432121220 is an abundant number, since it is smaller than the sum of its proper divisors (43190911980360).

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

21241432121220 is a wasteful number, since it uses less digits than its factorization.

21241432121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118007956244 (or 118007956239 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 21241432121220 its reverse (2212123414212), we get a palindrome (23453555535432).

The spelling of 21241432121220 in words is "twenty-one trillion, two hundred forty-one billion, four hundred thirty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 118007956229 236015912458 354023868687 472031824916 590039781145 708047737374 1062071606061 1180079562290 1416095474748 1770119343435 2124143212122 2360159124580 3540238686870 4248286424244 5310358030305 7080477373740 10620716060610 21241432121220