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230029048097 is a prime number
BaseRepresentation
bin1101011000111011001…
…1001011100100100001
3210222202010020101100222
43112032303023210201
512232044414014342
6253401320452425
722422222435122
oct3261663134441
9728663211328
10230029048097
1189611445522
12386b831a115
13188cb714ba4
14b1c232c049
155eb48d9ed2
hex358eccb921

230029048097 has 2 divisors, whose sum is σ = 230029048098. Its totient is φ = 230029048096.

The previous prime is 230029048091. The next prime is 230029048127. The reversal of 230029048097 is 790840920032.

230029048097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182975195536 + 47053852561 = 427756^2 + 216919^2 .

It is a cyclic number.

It is not a de Polignac number, because 230029048097 - 26 = 230029048033 is a prime.

It is not a weakly prime, because it can be changed into another prime (230029048091) 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, 115014524048 + 115014524049.

It is an arithmetic number, because the mean of its divisors is an integer number (115014524049).

Almost surely, 2230029048097 is an apocalyptic number.

It is an amenable number.

230029048097 is a deficient number, since it is larger than the sum of its proper divisors (1).

230029048097 is an equidigital number, since it uses as much as digits as its factorization.

230029048097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 230029048097 in words is "two hundred thirty billion, twenty-nine million, forty-eight thousand, ninety-seven".