Search a number
-
+
2030042144329 is a prime number
BaseRepresentation
bin11101100010100111111…
…100001101111001001001
321012001220010102220111021
4131202213330031321021
5231230011242104304
64152331040232441
7266444223342463
oct35424774157111
97161803386437
102030042144329
11712a3295a541
1228952900b721
13119580594034
147037c749133
1537c1567da54
hex1d8a7f0de49

2030042144329 has 2 divisors, whose sum is σ = 2030042144330. Its totient is φ = 2030042144328.

The previous prime is 2030042144293. The next prime is 2030042144341. The reversal of 2030042144329 is 9234412400302.

Together with previous prime (2030042144293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1166486401600 + 863555742729 = 1080040^2 + 929277^2 .

It is a cyclic number.

It is not a de Polignac number, because 2030042144329 - 231 = 2027894660681 is a prime.

It is a super-2 number, since 2×20300421443292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2030042144294 and 2030042144303.

It is not a weakly prime, because it can be changed into another prime (2030042144359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015021072164 + 1015021072165.

It is an arithmetic number, because the mean of its divisors is an integer number (1015021072165).

Almost surely, 22030042144329 is an apocalyptic number.

It is an amenable number.

2030042144329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2030042144329 is an equidigital number, since it uses as much as digits as its factorization.

2030042144329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 2030042144329 in words is "two trillion, thirty billion, forty-two million, one hundred forty-four thousand, three hundred twenty-nine".