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20320145105 = 5132136117669
BaseRepresentation
bin10010111011001011…
…001100111011010001
31221110010221022202212
4102323023030323101
5313103424120410
613200203121505
71316360245361
oct227313147321
957403838685
1020320145105
118688212857
123b31213295
131bbab09c00
14daaa209a1
157dde08b05
hex4bb2cced1

20320145105 has 24 divisors (see below), whose sum is σ = 26425060920. Its totient is φ = 14993771520.

The previous prime is 20320145089. The next prime is 20320145119. The reversal of 20320145105 is 50154102302.

It can be written as a sum of positive squares in 12 ways, for example, as 17602920976 + 2717224129 = 132676^2 + 52127^2 .

It is not a de Polignac number, because 20320145105 - 24 = 20320145089 is a prime.

It is a super-2 number, since 2×203201451052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 1141211 + ... + 1158879.

It is an arithmetic number, because the mean of its divisors is an integer number (1101044205).

Almost surely, 220320145105 is an apocalyptic number.

It is an amenable number.

20320145105 is a deficient number, since it is larger than the sum of its proper divisors (6104915815).

20320145105 is a wasteful number, since it uses less digits than its factorization.

20320145105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061 (or 19048 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 20320145105 its reverse (50154102302), we get a palindrome (70474247407).

The spelling of 20320145105 in words is "twenty billion, three hundred twenty million, one hundred forty-five thousand, one hundred five".

Divisors: 1 5 13 65 169 845 1361 6805 17669 17693 88345 88465 229697 230009 1148485 1150045 2986061 14930305 24047509 120237545 312617617 1563088085 4064029021 20320145105