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20122120013 is a prime number
BaseRepresentation
bin10010101111010111…
…110010111101001101
31220221100022121102012
4102233113302331031
5312202230320023
613124410511005
71311434124632
oct225727627515
956840277365
1020122120013
118596459656
123a96a35465
131b88a947b8
14d8c5d4189
157cb83e978
hex4af5f2f4d

20122120013 has 2 divisors, whose sum is σ = 20122120014. Its totient is φ = 20122120012.

The previous prime is 20122120001. The next prime is 20122120021. The reversal of 20122120013 is 31002122102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13622858089 + 6499261924 = 116717^2 + 80618^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122120013 - 220 = 20121071437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20122120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20122120033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061060006 + 10061060007.

It is an arithmetic number, because the mean of its divisors is an integer number (10061060007).

Almost surely, 220122120013 is an apocalyptic number.

It is an amenable number.

20122120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122120013 is an equidigital number, since it uses as much as digits as its factorization.

20122120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20122120013 its reverse (31002122102), we get a palindrome (51124242115).

The spelling of 20122120013 in words is "twenty billion, one hundred twenty-two million, one hundred twenty thousand, thirteen".