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131640045241 = 17173385311617
BaseRepresentation
bin111101010011001011…
…0111010111010111001
3110120210012222011202011
41322212112322322321
54124044322421431
6140250303005521
712340106631235
oct1724626727271
9416705864664
10131640045241
1150912412421
1221619b998a1
13c54b8bb8c3
14652b2255c5
153656d22cb1
hex1ea65baeb9

131640045241 has 16 divisors (see below), whose sum is σ = 140237717904. Its totient is φ = 123137777664.

The previous prime is 131640045223. The next prime is 131640045281. The reversal of 131640045241 is 142540046131.

It can be written as a sum of positive squares in 8 ways, for example, as 48577923216 + 83062122025 = 220404^2 + 288205^2 .

It is a cyclic number.

It is not a de Polignac number, because 131640045241 - 25 = 131640045209 is a prime.

It is a super-2 number, since 2×1316400452412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131640045281) 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 in 15 ways as a sum of consecutive naturals, for example, 11325865 + ... + 11337481.

It is an arithmetic number, because the mean of its divisors is an integer number (8764857369).

Almost surely, 2131640045241 is an apocalyptic number.

It is an amenable number.

131640045241 is a deficient number, since it is larger than the sum of its proper divisors (8597672663).

131640045241 is a wasteful number, since it uses less digits than its factorization.

131640045241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15660.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 131640045241 in words is "one hundred thirty-one billion, six hundred forty million, forty-five thousand, two hundred forty-one".

Divisors: 1 17 173 2941 3853 11617 65501 197489 666569 2009741 11331673 34165597 44760301 760925117 7743532073 131640045241