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212102021213 is a prime number
BaseRepresentation
bin1100010110001001000…
…1000000000001011101
3202021110202101001122022
43011202101000001131
511433341104134323
6241234402225525
721216041301455
oct3054221000135
9667422331568
10212102021213
1181a52074925
12351346552a5
1317002654484
14a3a1498d65
1557b5b484c8
hex316244005d

212102021213 has 2 divisors, whose sum is σ = 212102021214. Its totient is φ = 212102021212.

The previous prime is 212102021137. The next prime is 212102021231. The reversal of 212102021213 is 312120201212.

Together with next prime (212102021231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168626852164 + 43475169049 = 410642^2 + 208507^2 .

It is a cyclic number.

It is not a de Polignac number, because 212102021213 - 210 = 212102020189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212102021191 and 212102021200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212102020213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106051010606 + 106051010607.

It is an arithmetic number, because the mean of its divisors is an integer number (106051010607).

Almost surely, 2212102021213 is an apocalyptic number.

It is an amenable number.

212102021213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212102021213 is an equidigital number, since it uses as much as digits as its factorization.

212102021213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 212102021213 its reverse (312120201212), we get a palindrome (524222222425).

The spelling of 212102021213 in words is "two hundred twelve billion, one hundred two million, twenty-one thousand, two hundred thirteen".