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213311121097 is a prime number
BaseRepresentation
bin1100011010101001010…
…1010110011011001001
3202101121000111200212111
43012222111112123021
511443330121333342
6241554353342321
721261022420144
oct3065225263311
9671530450774
10213311121097
1182512626528
12354115679a1
1317165cb38a9
14a477cb705b
155836d80217
hex31aa5566c9

213311121097 has 2 divisors, whose sum is σ = 213311121098. Its totient is φ = 213311121096.

The previous prime is 213311121059. The next prime is 213311121113. The reversal of 213311121097 is 790121113312.

213311121097 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., 210732411136 + 2578709961 = 459056^2 + 50781^2 .

It is a cyclic number.

It is not a de Polignac number, because 213311121097 - 27 = 213311120969 is a prime.

It is not a weakly prime, because it can be changed into another prime (213311121047) 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, 106655560548 + 106655560549.

It is an arithmetic number, because the mean of its divisors is an integer number (106655560549).

Almost surely, 2213311121097 is an apocalyptic number.

It is an amenable number.

213311121097 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311121097 is an equidigital number, since it uses as much as digits as its factorization.

213311121097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 213311121097 in words is "two hundred thirteen billion, three hundred eleven million, one hundred twenty-one thousand, ninety-seven".