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213301209097 is a prime number
BaseRepresentation
bin1100011010100110111…
…1100010100000001001
3202101120022212010011101
43012221233202200021
511443320102142342
6241553401101401
721260542235164
oct3065157424011
9671508763141
10213301209097
1182507a76499
123540a187861
1317163c230c2
14a476856adb
1558360733b7
hex31a9be2809

213301209097 has 2 divisors, whose sum is σ = 213301209098. Its totient is φ = 213301209096.

The previous prime is 213301209067. The next prime is 213301209109. The reversal of 213301209097 is 790902103312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161199038016 + 52102171081 = 401496^2 + 228259^2 .

It is a cyclic number.

It is not a de Polignac number, because 213301209097 - 27 = 213301208969 is a prime.

It is not a weakly prime, because it can be changed into another prime (213301209067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106650604548 + 106650604549.

It is an arithmetic number, because the mean of its divisors is an integer number (106650604549).

Almost surely, 2213301209097 is an apocalyptic number.

It is an amenable number.

213301209097 is a deficient number, since it is larger than the sum of its proper divisors (1).

213301209097 is an equidigital number, since it uses as much as digits as its factorization.

213301209097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 37.

The spelling of 213301209097 in words is "two hundred thirteen billion, three hundred one million, two hundred nine thousand, ninety-seven".