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20434431321 = 3213785319429
BaseRepresentation
bin10011000001111111…
…001010110101011001
31221202002222122222200
4103001333022311121
5313322203300241
613215404440413
71322245541343
oct230177126531
957662878880
1020434431321
118736781777
123b63549109
131c086b31a5
14dbbc90293
157e8e814b6
hex4c1fcad59

20434431321 has 24 divisors (see below), whose sum is σ = 29768236680. Its totient is φ = 13506967296.

The previous prime is 20434431317. The next prime is 20434431361. The reversal of 20434431321 is 12313443402.

20434431321 is a `hidden beast` number, since 2 + 0 + 4 + 344 + 313 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 743325696 + 19691105625 = 27264^2 + 140325^2 .

It is not a de Polignac number, because 20434431321 - 22 = 20434431317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20434431301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042035 + ... + 1061463.

It is an arithmetic number, because the mean of its divisors is an integer number (1240343195).

Almost surely, 220434431321 is an apocalyptic number.

It is an amenable number.

20434431321 is a deficient number, since it is larger than the sum of its proper divisors (9333805359).

20434431321 is a wasteful number, since it uses less digits than its factorization.

20434431321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20425 (or 20422 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20434431321 its reverse (12313443402), we get a palindrome (32747874723).

The spelling of 20434431321 in words is "twenty billion, four hundred thirty-four million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 137 411 853 1233 2559 7677 19429 58287 116861 174861 350583 1051749 2661773 7985319 16572937 23955957 49718811 149156433 2270492369 6811477107 20434431321