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21124144169 is a prime number
BaseRepresentation
bin10011101011000110…
…001101110000101001
32000112011210201010222
4103223012031300221
5321230240103134
613412043415425
71345322156102
oct235306156051
960464721128
1021124144169
118a60035197
124116524575
131cb85600bb
14104570b3a9
158397c0a2e
hex4eb18dc29

21124144169 has 2 divisors, whose sum is σ = 21124144170. Its totient is φ = 21124144168.

The previous prime is 21124144157. The next prime is 21124144309. The reversal of 21124144169 is 96144142112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14065960000 + 7058184169 = 118600^2 + 84013^2 .

It is a cyclic number.

It is not a de Polignac number, because 21124144169 - 212 = 21124140073 is a prime.

It is a super-2 number, since 2×211241441692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21124147169) 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, 10562072084 + 10562072085.

It is an arithmetic number, because the mean of its divisors is an integer number (10562072085).

Almost surely, 221124144169 is an apocalyptic number.

It is an amenable number.

21124144169 is a deficient number, since it is larger than the sum of its proper divisors (1).

21124144169 is an equidigital number, since it uses as much as digits as its factorization.

21124144169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 35.

The spelling of 21124144169 in words is "twenty-one billion, one hundred twenty-four million, one hundred forty-four thousand, one hundred sixty-nine".