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212033314057 is a prime number
BaseRepresentation
bin1100010101111000101…
…0111001110100001001
3202021021222002101010211
43011132022321310021
511433221012022212
6241223505441121
721214245301165
oct3053612716411
9667258071124
10212033314057
1181a17307154
12351156401a1
1316cc1349256
14a3962d1ca5
1557aeac59a7
hex315e2b9d09

212033314057 has 2 divisors, whose sum is σ = 212033314058. Its totient is φ = 212033314056.

The previous prime is 212033314007. The next prime is 212033314111. The reversal of 212033314057 is 750413330212.

212033314057 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., 187611125881 + 24422188176 = 433141^2 + 156276^2 .

It is a cyclic number.

It is not a de Polignac number, because 212033314057 - 211 = 212033312009 is a prime.

It is not a weakly prime, because it can be changed into another prime (212033314007) 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, 106016657028 + 106016657029.

It is an arithmetic number, because the mean of its divisors is an integer number (106016657029).

Almost surely, 2212033314057 is an apocalyptic number.

It is an amenable number.

212033314057 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033314057 is an equidigital number, since it uses as much as digits as its factorization.

212033314057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 212033314057 its reverse (750413330212), we get a palindrome (962446644269).

The spelling of 212033314057 in words is "two hundred twelve billion, thirty-three million, three hundred fourteen thousand, fifty-seven".