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20321245924117 = 1729971492851973
BaseRepresentation
bin1001001111011011010001…
…01001010000101100010101
32122221200200120100022020021
410213231220221100230111
510130420402424032432
6111115241305105141
74165106263230055
oct447555051205425
978850616308207
1020321245924117
116525212606606
1223424881881b1
13b45392970878
145037a6d2b565
1525390786d697
hex127b68a50b15

20321245924117 has 32 divisors (see below), whose sum is σ = 22638969612000. Its totient is φ = 18153326542848.

The previous prime is 20321245924103. The next prime is 20321245924153. The reversal of 20321245924117 is 71142954212302.

It can be written as a sum of positive squares in 16 ways, for example, as 6264077918596 + 14057168005521 = 2502814^2 + 3749289^2 .

It is a cyclic number.

It is not a de Polignac number, because 20321245924117 - 27 = 20321245923989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321245924417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5699343 + ... + 8551315.

It is an arithmetic number, because the mean of its divisors is an integer number (707467800375).

Almost surely, 220321245924117 is an apocalyptic number.

It is an amenable number.

20321245924117 is a deficient number, since it is larger than the sum of its proper divisors (2317723687883).

20321245924117 is a wasteful number, since it uses less digits than its factorization.

20321245924117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852265.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 20321245924117 in words is "twenty trillion, three hundred twenty-one billion, two hundred forty-five million, nine hundred twenty-four thousand, one hundred seventeen".

Divisors: 1 17 29 97 149 493 1649 2533 2813 4321 14453 47821 73457 245701 419137 2851973 7125329 48483541 82707217 276641381 424943977 1406022689 4702903477 7224047609 8022600049 12323375333 41219565769 136384200833 209497380661 700732618073 1195367407301 20321245924117