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10211211001 is a prime number
BaseRepresentation
bin10011000001010001…
…01011011011111001
3222100122012021011001
421200220223123321
5131403032223001
64405125405001
7511020601315
oct114050533371
928318167131
1010211211001
11436aa64a62
121b8b869761
13c6969b5b4
146cc222b45
153eb6ce001
hex260a2b6f9

10211211001 has 2 divisors, whose sum is σ = 10211211002. Its totient is φ = 10211211000.

The previous prime is 10211210969. The next prime is 10211211029. The reversal of 10211211001 is 10011211201.

10211211001 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9794071225 + 417139776 = 98965^2 + 20424^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211211001 - 25 = 10211210969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211211301) 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, 5105605500 + 5105605501.

It is an arithmetic number, because the mean of its divisors is an integer number (5105605501).

Almost surely, 210211211001 is an apocalyptic number.

It is an amenable number.

10211211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211211001 is an equidigital number, since it uses as much as digits as its factorization.

10211211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211211001 its reverse (10011211201), we get a palindrome (20222422202).

The spelling of 10211211001 in words is "ten billion, two hundred eleven million, two hundred eleven thousand, one".