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20121225233 is a prime number
BaseRepresentation
bin10010101111010100…
…011000100000010001
31220221021122011000012
4102233110120200101
5312202013201413
613124335404305
71311423410144
oct225724304021
956837564005
1020121225233
1185959a836a
123a96683695
131b88840445
14d8c44005b
157cb7147a8
hex4af518811

20121225233 has 2 divisors, whose sum is σ = 20121225234. Its totient is φ = 20121225232.

The previous prime is 20121225181. The next prime is 20121225259. The reversal of 20121225233 is 33252212102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12230811649 + 7890413584 = 110593^2 + 88828^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121225233 - 212 = 20121221137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121225199 and 20121225208.

It is not a weakly prime, because it can be changed into another prime (20121225433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060612616 + 10060612617.

It is an arithmetic number, because the mean of its divisors is an integer number (10060612617).

Almost surely, 220121225233 is an apocalyptic number.

It is an amenable number.

20121225233 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121225233 is an equidigital number, since it uses as much as digits as its factorization.

20121225233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 20121225233 its reverse (33252212102), we get a palindrome (53373437335).

The spelling of 20121225233 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-five thousand, two hundred thirty-three".