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212101133033 is a prime number
BaseRepresentation
bin1100010110001000110…
…1100111001011101001
3202021110200200221021202
43011202031213023221
511433340342224113
6241234331213545
721216030612146
oct3054215471351
9667420627252
10212101133033
1181a51618599
12351342a72b5
131700240311a
14a3a13073cd
1557b5a20258
hex31623672e9

212101133033 has 2 divisors, whose sum is σ = 212101133034. Its totient is φ = 212101133032.

The previous prime is 212101133021. The next prime is 212101133059. The reversal of 212101133033 is 330331101212.

212101133033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159498793129 + 52602339904 = 399373^2 + 229352^2 .

It is a cyclic number.

It is not a de Polignac number, because 212101133033 - 214 = 212101116649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101132996 and 212101133014.

It is not a weakly prime, because it can be changed into another prime (212101133533) 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, 106050566516 + 106050566517.

It is an arithmetic number, because the mean of its divisors is an integer number (106050566517).

Almost surely, 2212101133033 is an apocalyptic number.

It is an amenable number.

212101133033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212101133033 is an equidigital number, since it uses as much as digits as its factorization.

212101133033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 212101133033 its reverse (330331101212), we get a palindrome (542432234245).

The spelling of 212101133033 in words is "two hundred twelve billion, one hundred one million, one hundred thirty-three thousand, thirty-three".