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211223310029 is a prime number
BaseRepresentation
bin1100010010110111100…
…0111110111011001101
3202012012111220220111122
43010231320332323031
511430041131410104
6241011252330325
721155211340334
oct3045570767315
9665174826448
10211223310029
1181641063136
1234b2a3139a5
1316bc25a2a24
14a31a8c0d1b
1557639246be
hex312de3eecd

211223310029 has 2 divisors, whose sum is σ = 211223310030. Its totient is φ = 211223310028.

The previous prime is 211223310007. The next prime is 211223310049. The reversal of 211223310029 is 920013322112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210315794404 + 907515625 = 458602^2 + 30125^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211223310029 is a prime.

It is a super-3 number, since 3×2112233100293 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211223310049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611655014 + 105611655015.

It is an arithmetic number, because the mean of its divisors is an integer number (105611655015).

Almost surely, 2211223310029 is an apocalyptic number.

It is an amenable number.

211223310029 is a deficient number, since it is larger than the sum of its proper divisors (1).

211223310029 is an equidigital number, since it uses as much as digits as its factorization.

211223310029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 211223310029 in words is "two hundred eleven billion, two hundred twenty-three million, three hundred ten thousand, twenty-nine".