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211001102009 is a prime number
BaseRepresentation
bin1100010010000010100…
…1010100111010111001
3202011122000210120101222
43010200221110322321
511424112240231014
6240533233521425
721146542526465
oct3044051247271
9664560716358
10211001102009
1181537691a45
1234a87a13275
1316b885412a9
14a2d919b4a5
15574e18008e
hex3120a54eb9

211001102009 has 2 divisors, whose sum is σ = 211001102010. Its totient is φ = 211001102008.

The previous prime is 211001101963. The next prime is 211001102023. The reversal of 211001102009 is 900201100112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169865149609 + 41135952400 = 412147^2 + 202820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211001102009 is a prime.

It is not a weakly prime, because it can be changed into another prime (211001102089) 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, 105500551004 + 105500551005.

It is an arithmetic number, because the mean of its divisors is an integer number (105500551005).

Almost surely, 2211001102009 is an apocalyptic number.

It is an amenable number.

211001102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001102009 is an equidigital number, since it uses as much as digits as its factorization.

211001102009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 211001102009 in words is "two hundred eleven billion, one million, one hundred two thousand, nine".