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20302300031 = 1317232173659
BaseRepresentation
bin10010111010000111…
…001000001101111111
31221101220100200221012
4102322013020031333
5313034342100111
613154324425435
71316052463046
oct227207101577
957356320835
1020302300031
118679134562
123b2724827b
131bb71cc5b0
14da84d755d
157dc58148b
hex4ba1c837f

20302300031 has 24 divisors (see below), whose sum is σ = 24200562960. Its totient is φ = 16871222016.

The previous prime is 20302300021. The next prime is 20302300043. The reversal of 20302300031 is 13000320302.

It is not a de Polignac number, because 20302300031 - 26 = 20302299967 is a prime.

It is a super-2 number, since 2×203023000312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20302299979 and 20302300015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20302300021) 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, 30080 + ... + 203738.

It is an arithmetic number, because the mean of its divisors is an integer number (1008356790).

Almost surely, 220302300031 is an apocalyptic number.

20302300031 is a deficient number, since it is larger than the sum of its proper divisors (3898262929).

20302300031 is a wasteful number, since it uses less digits than its factorization.

20302300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173735 (or 173712 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 20302300031 its reverse (13000320302), we get a palindrome (33302620333).

The spelling of 20302300031 in words is "twenty billion, three hundred two million, three hundred thousand, thirty-one".

Divisors: 1 13 17 23 221 299 391 529 5083 6877 8993 116909 173659 2257567 2952203 3994157 38378639 51924041 67900669 91865611 882708697 1194252943 1561715387 20302300031