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212115123301 is a prime number
BaseRepresentation
bin1100010110001100001…
…0111110110001100101
3202021111200000201022211
43011203002332301211
511433402432421201
6241235551123421
721216260541124
oct3054302766145
9667450021284
10212115123301
1181a595036a4
1235138b13571
1317005290ca3
14a3a3109abb
1557b6d85651
hex31630bec65

212115123301 has 2 divisors, whose sum is σ = 212115123302. Its totient is φ = 212115123300.

The previous prime is 212115123257. The next prime is 212115123343. The reversal of 212115123301 is 103321511212.

212115123301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185325945025 + 26789178276 = 430495^2 + 163674^2 .

It is a cyclic number.

It is not a de Polignac number, because 212115123301 - 27 = 212115123173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212115123361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106057561650 + 106057561651.

It is an arithmetic number, because the mean of its divisors is an integer number (106057561651).

Almost surely, 2212115123301 is an apocalyptic number.

It is an amenable number.

212115123301 is a deficient number, since it is larger than the sum of its proper divisors (1).

212115123301 is an equidigital number, since it uses as much as digits as its factorization.

212115123301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 212115123301 its reverse (103321511212), we get a palindrome (315436634513).

The spelling of 212115123301 in words is "two hundred twelve billion, one hundred fifteen million, one hundred twenty-three thousand, three hundred one".