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243131524049 is a prime number
BaseRepresentation
bin1110001001101111000…
…1001010001111010001
3212020120020212010102002
43202123301022033101
512440413132232144
6303405412203345
723365011566351
oct3423361121721
9766506763362
10243131524049
1194125452647
123b154309555
1319c090b633b
14baa6530b61
1564ced3014e
hex389bc4a3d1

243131524049 has 2 divisors, whose sum is σ = 243131524050. Its totient is φ = 243131524048.

The previous prime is 243131523989. The next prime is 243131524061. The reversal of 243131524049 is 940425131342.

243131524049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195600983824 + 47530540225 = 442268^2 + 218015^2 .

It is a cyclic number.

It is not a de Polignac number, because 243131524049 - 220 = 243130475473 is a prime.

It is a super-2 number, since 2×2431315240492 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (243131524549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121565762024 + 121565762025.

It is an arithmetic number, because the mean of its divisors is an integer number (121565762025).

Almost surely, 2243131524049 is an apocalyptic number.

It is an amenable number.

243131524049 is a deficient number, since it is larger than the sum of its proper divisors (1).

243131524049 is an equidigital number, since it uses as much as digits as its factorization.

243131524049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 243131524049 in words is "two hundred forty-three billion, one hundred thirty-one million, five hundred twenty-four thousand, forty-nine".