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131582484049 = 3627432
BaseRepresentation
bin111101010001011101…
…1010101111001010001
3110120122012122202122011
41322202323111321101
54123440103442144
6140240445142521
712335510442322
oct1724273257121
9416565582564
10131582484049
1150892977895
122160285aa41
13c53c9b6a23
146523720449
153651c52a34
hex1ea2ed5e51

131582484049 has 3 divisors (see below), whose sum is σ = 131582846793. Its totient is φ = 131582121306.

The previous prime is 131582484001. The next prime is 131582484113. The reversal of 131582484049 is 940484285131.

The square root of 131582484049 is 362743.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 940484285131 = 1601587435531.

It is not a de Polignac number, because 131582484049 - 217 = 131582352977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131582483993 and 131582484011.

It is not an unprimeable number, because it can be changed into a prime (131582424049) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 181372 + ... + 544114.

It is an arithmetic number, because the mean of its divisors is an integer number (43860948931).

Almost surely, 2131582484049 is an apocalyptic number.

131582484049 is the 362743-rd square number.

131582484049 is the 181372-nd centered octagonal number.

It is an amenable number.

131582484049 is a deficient number, since it is larger than the sum of its proper divisors (362744).

131582484049 is an frugal number, since it uses more digits than its factorization.

131582484049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725486 (or 362743 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 131582484049 by its sum of digits (49), we get a square (6447541718401 = 25392012).

The spelling of 131582484049 in words is "one hundred thirty-one billion, five hundred eighty-two million, four hundred eighty-four thousand, forty-nine".

Divisors: 1 362743 131582484049