Search a number
-
+
20231230002329 is a prime number
BaseRepresentation
bin1001001100110011100110…
…10001110001010010011001
32122122002100012111200112002
410212121303101301102121
510122432024340033304
6111010033155330345
74155441511431233
oct446316321612231
978562305450462
1020231230002329
1164a001aa00215
122328b45bb09b5
13b39a48765518
144dd2a7c87253
152513d9de931e
hex126673471499

20231230002329 has 2 divisors, whose sum is σ = 20231230002330. Its totient is φ = 20231230002328.

The previous prime is 20231230002283. The next prime is 20231230002353. The reversal of 20231230002329 is 92320003213202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19086832847104 + 1144397155225 = 4368848^2 + 1069765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20231230002329 is a prime.

It is a super-3 number, since 3×202312300023293 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (20231230032329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10115615001164 + 10115615001165.

It is an arithmetic number, because the mean of its divisors is an integer number (10115615001165).

Almost surely, 220231230002329 is an apocalyptic number.

It is an amenable number.

20231230002329 is a deficient number, since it is larger than the sum of its proper divisors (1).

20231230002329 is an equidigital number, since it uses as much as digits as its factorization.

20231230002329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 20231230002329 in words is "twenty trillion, two hundred thirty-one billion, two hundred thirty million, two thousand, three hundred twenty-nine".