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131441101444249 is a prime number
BaseRepresentation
bin11101111000101110000100…
…001010010001010010011001
3122020101122110100121210012121
4131320232010022101102121
5114212012333432203444
61143315113003141241
736454210011652162
oct3570560412212231
9566348410553177
10131441101444249
1138976949114963
12128aa1bab14821
135845ac54a976c
142465ad736c769
15102e140c5e084
hex778b84291499

131441101444249 has 2 divisors, whose sum is σ = 131441101444250. Its totient is φ = 131441101444248.

The previous prime is 131441101444201. The next prime is 131441101444313. The reversal of 131441101444249 is 942444101144131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125126148560400 + 6314952883849 = 11185980^2 + 2512957^2 .

It is a cyclic number.

It is not a de Polignac number, because 131441101444249 - 29 = 131441101443737 is a prime.

It is a super-3 number, since 3×1314411014442493 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (131441101444049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65720550722124 + 65720550722125.

It is an arithmetic number, because the mean of its divisors is an integer number (65720550722125).

Almost surely, 2131441101444249 is an apocalyptic number.

It is an amenable number.

131441101444249 is a deficient number, since it is larger than the sum of its proper divisors (1).

131441101444249 is an equidigital number, since it uses as much as digits as its factorization.

131441101444249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 131441101444249 in words is "one hundred thirty-one trillion, four hundred forty-one billion, one hundred one million, four hundred forty-four thousand, two hundred forty-nine".