Search a number
-
+
243130135245629 is a prime number
BaseRepresentation
bin110111010010000000100101…
…010110000111001100111101
31011212212000101011020210002012
4313102000211112013030331
5223331421004110330004
62221032235303141005
7102132400255102052
oct6722004526071475
91155760334223065
10243130135245629
1170517a02a58275
12233282ba444765
13a5880c5292358
1444077c0429029
151d1958d17b46e
hexdd202558733d

243130135245629 has 2 divisors, whose sum is σ = 243130135245630. Its totient is φ = 243130135245628.

The previous prime is 243130135245611. The next prime is 243130135245643. The reversal of 243130135245629 is 926542531031342.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212471378654404 + 30658756591225 = 14576398^2 + 5537035^2 .

It is a cyclic number.

It is not a de Polignac number, because 243130135245629 - 220 = 243130134197053 is a prime.

It is a super-2 number, since 2×2431301352456292 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (243130135241629) 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, 121565067622814 + 121565067622815.

It is an arithmetic number, because the mean of its divisors is an integer number (121565067622815).

Almost surely, 2243130135245629 is an apocalyptic number.

It is an amenable number.

243130135245629 is a deficient number, since it is larger than the sum of its proper divisors (1).

243130135245629 is an equidigital number, since it uses as much as digits as its factorization.

243130135245629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4665600, while the sum is 50.

The spelling of 243130135245629 in words is "two hundred forty-three trillion, one hundred thirty billion, one hundred thirty-five million, two hundred forty-five thousand, six hundred twenty-nine".