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20121225181 is a prime number
BaseRepresentation
bin10010101111010100…
…011000011111011101
31220221021122010221021
4102233110120133131
5312202013201211
613124335404141
71311423410041
oct225724303735
956837563837
1020121225181
1185959a8322
123a96683651
131b88840405
14d8c440021
157cb714771
hex4af5187dd

20121225181 has 2 divisors, whose sum is σ = 20121225182. Its totient is φ = 20121225180.

The previous prime is 20121225161. The next prime is 20121225233. The reversal of 20121225181 is 18152212102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19799022681 + 322202500 = 140709^2 + 17950^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121225181 - 27 = 20121225053 is a prime.

It is a super-2 number, since 2×201212251812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121225101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10060612590 + 10060612591.

It is an arithmetic number, because the mean of its divisors is an integer number (10060612591).

Almost surely, 220121225181 is an apocalyptic number.

It is an amenable number.

20121225181 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121225181 is an equidigital number, since it uses as much as digits as its factorization.

20121225181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 25.

Adding to 20121225181 its reverse (18152212102), we get a palindrome (38273437283).

The spelling of 20121225181 in words is "twenty billion, one hundred twenty-one million, two hundred twenty-five thousand, one hundred eighty-one".