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2021121329 is a prime number
BaseRepresentation
bin111100001110111…
…1101110100110001
312012212002121020112
41320131331310301
513114401340304
6532315351105
7101041151003
oct17035756461
95185077215
102021121329
11947963407
12484a52495
13262960ca6
141525d6373
15bc685b6e
hex7877dd31

2021121329 has 2 divisors, whose sum is σ = 2021121330. Its totient is φ = 2021121328.

The previous prime is 2021121293. The next prime is 2021121367. The reversal of 2021121329 is 9231211202.

It is a happy number.

Together with previous prime (2021121293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1924138225 + 96983104 = 43865^2 + 9848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2021121329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2021126329) 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, 1010560664 + 1010560665.

It is an arithmetic number, because the mean of its divisors is an integer number (1010560665).

Almost surely, 22021121329 is an apocalyptic number.

It is an amenable number.

2021121329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021121329 is an equidigital number, since it uses as much as digits as its factorization.

2021121329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 2021121329 is about 44956.8829991582. The cubic root of 2021121329 is about 1264.3407291339.

The spelling of 2021121329 in words is "two billion, twenty-one million, one hundred twenty-one thousand, three hundred twenty-nine".