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21111020009 is a prime number
BaseRepresentation
bin10011101010010100…
…001001100111101001
32000111021002221011222
4103222110021213221
5321213410120014
613410454231425
71345102465202
oct235224114751
960437087158
1021111020009
118a53690882
124112055575
131cb5916521
141043a925a9
1583857c08e
hex4ea5099e9

21111020009 has 2 divisors, whose sum is σ = 21111020010. Its totient is φ = 21111020008.

The previous prime is 21111019991. The next prime is 21111020039. The reversal of 21111020009 is 90002011112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17098177600 + 4012842409 = 130760^2 + 63347^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111020009 - 220 = 21109971433 is a prime.

It is a super-3 number, since 3×211110200093 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21111020039) 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, 10555510004 + 10555510005.

It is an arithmetic number, because the mean of its divisors is an integer number (10555510005).

Almost surely, 221111020009 is an apocalyptic number.

It is an amenable number.

21111020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111020009 is an equidigital number, since it uses as much as digits as its factorization.

21111020009 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 21111020009 in words is "twenty-one billion, one hundred eleven million, twenty thousand, nine".