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131344242144021 = 3282971958389819
BaseRepresentation
bin11101110111010011110110…
…111001010111001100010101
3122020001101110001202112002200
4131313103312321113030111
5114203421001442102041
61143202413432155113
736444210522332604
oct3567236671271425
9566041401675080
10131344242144021
113893986460a005
1212893488b38a99
13583992a57526a
14246114949ba3b
15102b87260c1b6
hex7774f6e57315

131344242144021 has 24 divisors (see below), whose sum is σ = 189754128645120. Its totient is φ = 87546828998976.

The previous prime is 131344242144013. The next prime is 131344242144029. The reversal of 131344242144021 is 120441242443131.

131344242144021 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 4 + 242 + 1 + 4 + 402 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131344242144013) and next prime (131344242144029).

It is not a de Polignac number, because 131344242144021 - 23 = 131344242144013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344242144029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462276450 + ... + 1462366268.

It is an arithmetic number, because the mean of its divisors is an integer number (7906422026880).

Almost surely, 2131344242144021 is an apocalyptic number.

It is an amenable number.

131344242144021 is a deficient number, since it is larger than the sum of its proper divisors (58409886501099).

131344242144021 is a wasteful number, since it uses less digits than its factorization.

131344242144021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117705 (or 117702 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 131344242144021 its reverse (120441242443131), we get a palindrome (251785484587152).

The spelling of 131344242144021 in words is "one hundred thirty-one trillion, three hundred forty-four billion, two hundred forty-two million, one hundred forty-four thousand, twenty-one".

Divisors: 1 3 9 8297 19583 24891 58749 74673 89819 176247 269457 808371 162480151 487440453 745228243 1462321359 1758925477 2235684729 5276776431 6707054187 15830329293 14593804682669 43781414048007 131344242144021