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211220010193 is a prime number
BaseRepresentation
bin1100010010110110110…
…0011001010011010001
3202012012021201020222111
43010231230121103101
511430034310311233
6241011053505321
721155141314663
oct3045554312321
9665167636874
10211220010193
118163a2099a5
1234b291a2241
1316bc19b8a6a
14a31a2a2533
1557634c1acd
hex312db194d1

211220010193 has 2 divisors, whose sum is σ = 211220010194. Its totient is φ = 211220010192.

The previous prime is 211220010173. The next prime is 211220010229. The reversal of 211220010193 is 391010022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191137719249 + 20082290944 = 437193^2 + 141712^2 .

It is a cyclic number.

It is not a de Polignac number, because 211220010193 - 25 = 211220010161 is a prime.

It is a super-2 number, since 2×2112200101932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211220010173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105610005096 + 105610005097.

It is an arithmetic number, because the mean of its divisors is an integer number (105610005097).

Almost surely, 2211220010193 is an apocalyptic number.

It is an amenable number.

211220010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220010193 is an equidigital number, since it uses as much as digits as its factorization.

211220010193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 211220010193 in words is "two hundred eleven billion, two hundred twenty million, ten thousand, one hundred ninety-three".