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20345884309 is a prime number
BaseRepresentation
bin10010111100101101…
…011000111010010101
31221111221101000022201
4102330231120322111
5313132021244214
613202522524501
71320122106652
oct227455307225
957457330281
1020345884309
1186a07a3023
123b39966731
131bc324c6ca
14db0200c29
157e12e0274
hex4bcb58e95

20345884309 has 2 divisors, whose sum is σ = 20345884310. Its totient is φ = 20345884308.

The previous prime is 20345884289. The next prime is 20345884367. The reversal of 20345884309 is 90348854302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20284026084 + 61858225 = 142422^2 + 7865^2 .

It is a cyclic number.

It is not a de Polignac number, because 20345884309 - 215 = 20345851541 is a prime.

It is a super-3 number, since 3×203458843093 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20345884369) 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 as a sum of consecutive naturals, namely, 10172942154 + 10172942155.

It is an arithmetic number, because the mean of its divisors is an integer number (10172942155).

Almost surely, 220345884309 is an apocalyptic number.

It is an amenable number.

20345884309 is a deficient number, since it is larger than the sum of its proper divisors (1).

20345884309 is an equidigital number, since it uses as much as digits as its factorization.

20345884309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 20345884309 in words is "twenty billion, three hundred forty-five million, eight hundred eighty-four thousand, three hundred nine".