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212121123131 is a prime number
BaseRepresentation
bin1100010110001101100…
…1110111100100111011
3202021112002022112112202
43011203121313210323
511433411001420011
6241240323500415
721216362540261
oct3054331674473
9667462275482
10212121123131
1181a61931435
123513ab2770b
13170065b1b98
14a3a3c2c431
1557b766d23b
hex316367793b

212121123131 has 2 divisors, whose sum is σ = 212121123132. Its totient is φ = 212121123130.

The previous prime is 212121123119. The next prime is 212121123133. The reversal of 212121123131 is 131321121212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212121123131 is a prime.

It is a super-2 number, since 2×2121211231312 (a number of 23 digits) contains 22 as substring.

Together with 212121123133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212121123133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060561565 + 106060561566.

It is an arithmetic number, because the mean of its divisors is an integer number (106060561566).

Almost surely, 2212121123131 is an apocalyptic number.

212121123131 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121123131 is an equidigital number, since it uses as much as digits as its factorization.

212121123131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 144, while the sum is 20.

Adding to 212121123131 its reverse (131321121212), we get a palindrome (343442244343).

The spelling of 212121123131 in words is "two hundred twelve billion, one hundred twenty-one million, one hundred twenty-three thousand, one hundred thirty-one".