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20121013273 is a prime number
BaseRepresentation
bin10010101111010011…
…100100110000011001
31220221021020101020211
4102233103210300121
5312201434411043
613124331051121
71311421535164
oct225723446031
956837211224
1020121013273
118595873099
123a965a0aa1
131b88797b1a
14d8c3c6adb
157cb6c1a9d
hex4af4e4c19

20121013273 has 2 divisors, whose sum is σ = 20121013274. Its totient is φ = 20121013272.

The previous prime is 20121013267. The next prime is 20121013279. The reversal of 20121013273 is 37231012102.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (20121013267) and next prime (20121013279).

It can be written as a sum of positive squares in only one way, i.e., 19273213584 + 847799689 = 138828^2 + 29117^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121013273 - 221 = 20118916121 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121013279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060506636 + 10060506637.

It is an arithmetic number, because the mean of its divisors is an integer number (10060506637).

Almost surely, 220121013273 is an apocalyptic number.

It is an amenable number.

20121013273 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121013273 is an equidigital number, since it uses as much as digits as its factorization.

20121013273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 20121013273 its reverse (37231012102), we get a palindrome (57352025375).

The spelling of 20121013273 in words is "twenty billion, one hundred twenty-one million, thirteen thousand, two hundred seventy-three".