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21121330193 is a prime number
BaseRepresentation
bin10011101010111011…
…011110110000010001
32000111222111202002122
4103222323132300101
5321224030031233
613411503224025
71345256226065
oct235273366021
960458452078
1021121330193
118a59492a97
1241155a8015
131cb7ab6322
1410451b7aa5
15839416d98
hex4eaedec11

21121330193 has 2 divisors, whose sum is σ = 21121330194. Its totient is φ = 21121330192.

The previous prime is 21121330187. The next prime is 21121330211. The reversal of 21121330193 is 39103312112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10781084224 + 10340245969 = 103832^2 + 101687^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121330193 - 214 = 21121313809 is a prime.

It is a super-2 number, since 2×211213301932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21121330103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560665096 + 10560665097.

It is an arithmetic number, because the mean of its divisors is an integer number (10560665097).

Almost surely, 221121330193 is an apocalyptic number.

It is an amenable number.

21121330193 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121330193 is an equidigital number, since it uses as much as digits as its factorization.

21121330193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 21121330193 in words is "twenty-one billion, one hundred twenty-one million, three hundred thirty thousand, one hundred ninety-three".