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212201011211001 = 3106966739915791
BaseRepresentation
bin110000001111111011100101…
…111001001110101011111001
31000211100012220022202200120120
4300033323211321032223321
5210303200132332223001
62031151444311243453
762461005606410211
oct6017734571165371
91024305808680516
10212201011211001
1161682a4183a11a
121b971b89379589
139153614631927
143a58825b0d241
15197ec7e0cc236
hexc0fee5e4eaf9

212201011211001 has 16 divisors (see below), whose sum is σ = 283241822058240. Its totient is φ = 141313810279680.

The previous prime is 212201011210963. The next prime is 212201011211039. The reversal of 212201011211001 is 100112110102212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212201011210963) and next prime (212201011211039).

It is not a de Polignac number, because 212201011211001 - 210 = 212201011209977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201011211801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16442416 + ... + 26358206.

It is an arithmetic number, because the mean of its divisors is an integer number (17702613878640).

Almost surely, 2212201011211001 is an apocalyptic number.

It is an amenable number.

212201011211001 is a deficient number, since it is larger than the sum of its proper divisors (71040810847239).

212201011211001 is a wasteful number, since it uses less digits than its factorization.

212201011211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9923536.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212201011211001 its reverse (100112110102212), we get a palindrome (312313121313213).

The spelling of 212201011211001 in words is "two hundred twelve trillion, two hundred one billion, eleven million, two hundred eleven thousand, one".

Divisors: 1 3 1069 3207 6673 20019 7133437 9915791 21400311 29747373 10599980579 31799941737 66168073343 198504220029 70733670403667 212201011211001