Search a number
-
+
12230023022033 is a prime number
BaseRepresentation
bin1011000111111000011000…
…1011011000010111010001
31121022011211022222022221212
42301332012023120113101
53100334041343201113
642002221153425505
72401406241312005
oct261760613302721
947264738868855
1012230023022033
1139957a6183903
121456315b6b295
136a9394aa494b
14303d171bc705
151631e701a0a8
hexb1f862d85d1

12230023022033 has 2 divisors, whose sum is σ = 12230023022034. Its totient is φ = 12230023022032.

The previous prime is 12230023022003. The next prime is 12230023022071. The reversal of 12230023022033 is 33022032003221.

12230023022033 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., 10742091465169 + 1487931556864 = 3277513^2 + 1219808^2 .

It is a cyclic number.

It is not a de Polignac number, because 12230023022033 - 210 = 12230023021009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12230023022003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6115011511016 + 6115011511017.

It is an arithmetic number, because the mean of its divisors is an integer number (6115011511017).

Almost surely, 212230023022033 is an apocalyptic number.

It is an amenable number.

12230023022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12230023022033 is an equidigital number, since it uses as much as digits as its factorization.

12230023022033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 12230023022033 its reverse (33022032003221), we get a palindrome (45252055025254).

The spelling of 12230023022033 in words is "twelve trillion, two hundred thirty billion, twenty-three million, twenty-two thousand, thirty-three".