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211220220049 is a prime number
BaseRepresentation
bin1100010010110110110…
…1001100100010010001
3202012012022002220211221
43010231231030202101
511430034334020144
6241011102205041
721155143150546
oct3045555144221
9665168086757
10211220220049
118163a342633
1234b29283781
1316bc1a60437
14a31a318bcd
155763513d84
hex312db4c891

211220220049 has 2 divisors, whose sum is σ = 211220220050. Its totient is φ = 211220220048.

The previous prime is 211220220023. The next prime is 211220220121. The reversal of 211220220049 is 940022022112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147409923600 + 63810296449 = 383940^2 + 252607^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211220220049 is a prime.

It is a super-2 number, since 2×2112202200492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211220220749) 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, 105610110024 + 105610110025.

It is an arithmetic number, because the mean of its divisors is an integer number (105610110025).

Almost surely, 2211220220049 is an apocalyptic number.

It is an amenable number.

211220220049 is a deficient number, since it is larger than the sum of its proper divisors (1).

211220220049 is an equidigital number, since it uses as much as digits as its factorization.

211220220049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 211220220049 in words is "two hundred eleven billion, two hundred twenty million, two hundred twenty thousand, forty-nine".