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20023150122513 = 324496269790397
BaseRepresentation
bin1001000110110000000001…
…10000000001011000010001
32121220012020202111120121200
410203120000300001120101
510111024402412410023
6110330301433341413
74134424216561266
oct443300060013021
977805222446550
1020023150122513
11641a85227279a
1222b4754567869
13b232374b5795
144d31a8a6726d
1524acac44b743
hex123600c01611

20023150122513 has 24 divisors (see below), whose sum is σ = 28991403441000. Its totient is φ = 13316895320064.

The previous prime is 20023150122509. The next prime is 20023150122517. The reversal of 20023150122513 is 31522105132002.

20023150122513 is a `hidden beast` number, since 2 + 0 + 0 + 23 + 1 + 5 + 0 + 122 + 513 = 666.

It is an interprime number because it is at equal distance from previous prime (20023150122509) and next prime (20023150122517).

It can be written as a sum of positive squares in 4 ways, for example, as 403317715329 + 19619832407184 = 635073^2 + 4429428^2 .

It is not a de Polignac number, because 20023150122513 - 22 = 20023150122509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20023150122517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24937831 + ... + 25728227.

It is an arithmetic number, because the mean of its divisors is an integer number (1207975143375).

Almost surely, 220023150122513 is an apocalyptic number.

It is an amenable number.

20023150122513 is a deficient number, since it is larger than the sum of its proper divisors (8968253318487).

20023150122513 is a wasteful number, since it uses less digits than its factorization.

20023150122513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797121 (or 797118 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 20023150122513 its reverse (31522105132002), we get a palindrome (51545255254515).

The spelling of 20023150122513 in words is "twenty trillion, twenty-three billion, one hundred fifty million, one hundred twenty-two thousand, five hundred thirteen".

Divisors: 1 3 9 449 1347 4041 6269 18807 56421 790397 2371191 2814781 7113573 8444343 25333029 354888253 1064664759 3193994277 4954998793 14864996379 44594989137 2224794458057 6674383374171 20023150122513