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20121213029 is a prime number
BaseRepresentation
bin10010101111010100…
…010101100001100101
31220221021121112021012
4102233110111201211
5312202012304104
613124335232005
71311423326441
oct225724254145
956837545235
1020121213029
11859599a185
123a96678605
131b88837a18
14d8c439821
157cb710d6e
hex4af515865

20121213029 has 2 divisors, whose sum is σ = 20121213030. Its totient is φ = 20121213028.

The previous prime is 20121213001. The next prime is 20121213067. The reversal of 20121213029 is 92031212102.

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., 15126540100 + 4994672929 = 122990^2 + 70673^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121213029 - 232 = 15826245733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20121212995 and 20121213013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20121213089) 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, 10060606514 + 10060606515.

It is an arithmetic number, because the mean of its divisors is an integer number (10060606515).

Almost surely, 220121213029 is an apocalyptic number.

It is an amenable number.

20121213029 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121213029 is an equidigital number, since it uses as much as digits as its factorization.

20121213029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 20121213029 in words is "twenty billion, one hundred twenty-one million, two hundred thirteen thousand, twenty-nine".