Search a number
-
+
23130305344129 is a prime number
BaseRepresentation
bin1010100001001011100011…
…01000100011001010000001
310000220020100202020010010111
411100211301220203022001
511012431331132003004
6121105525433231321
74605052346311324
oct520456150431201
9100806322203114
1023130305344129
1174085643a7465
122716984562541
13cba242037859
1459d726dc47bb
152a1a14155a04
hex150971a23281

23130305344129 has 2 divisors, whose sum is σ = 23130305344130. Its totient is φ = 23130305344128.

The previous prime is 23130305344109. The next prime is 23130305344207. The reversal of 23130305344129 is 92144350303132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23090648604529 + 39656739600 = 4805273^2 + 199140^2 .

It is a cyclic number.

It is not a de Polignac number, because 23130305344129 - 27 = 23130305344001 is a prime.

It is a super-2 number, since 2×231303053441292 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23130305344091 and 23130305344100.

It is not a weakly prime, because it can be changed into another prime (23130305344109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11565152672064 + 11565152672065.

It is an arithmetic number, because the mean of its divisors is an integer number (11565152672065).

Almost surely, 223130305344129 is an apocalyptic number.

It is an amenable number.

23130305344129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23130305344129 is an equidigital number, since it uses as much as digits as its factorization.

23130305344129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 23130305344129 in words is "twenty-three trillion, one hundred thirty billion, three hundred five million, three hundred forty-four thousand, one hundred twenty-nine".