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212123012117 is a prime number
BaseRepresentation
bin1100010110001110000…
…1000100110000010101
3202021112012212111202012
43011203201010300111
511433411442341432
6241240432154005
721216414565442
oct3054341046025
9667465774665
10212123012117
1181a62a01685
123513b698905
1317006ac3923
14a3a41a09c9
1557b78e2cb2
hex3163844c15

212123012117 has 2 divisors, whose sum is σ = 212123012118. Its totient is φ = 212123012116.

The previous prime is 212123012107. The next prime is 212123012147. The reversal of 212123012117 is 711210321212.

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., 115845610321 + 96277401796 = 340361^2 + 310286^2 .

It is a cyclic number.

It is not a de Polignac number, because 212123012117 - 226 = 212055903253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212123012092 and 212123012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212123012107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061506058 + 106061506059.

It is an arithmetic number, because the mean of its divisors is an integer number (106061506059).

Almost surely, 2212123012117 is an apocalyptic number.

It is an amenable number.

212123012117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212123012117 is an equidigital number, since it uses as much as digits as its factorization.

212123012117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 212123012117 its reverse (711210321212), we get a palindrome (923333333329).

The spelling of 212123012117 in words is "two hundred twelve billion, one hundred twenty-three million, twelve thousand, one hundred seventeen".