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131306552005 = 51131571480261
BaseRepresentation
bin111101001001001111…
…0101111101011000101
3110112220222102222000211
41322102132233223011
54122403434131010
6140153231035421
712325620163606
oct1722236575305
9415828388024
10131306552005
1150761141a82
122154636bb71
13c4c7794b25
1464d8c13dad
1536378ea08a
hex1e927afac5

131306552005 has 16 divisors (see below), whose sum is σ = 159974874864. Its totient is φ = 103452410880.

The previous prime is 131306551993. The next prime is 131306552009. The reversal of 131306552005 is 500255603131.

It can be written as a sum of positive squares in 8 ways, for example, as 45877784481 + 85428767524 = 214191^2 + 292282^2 .

It is not a de Polignac number, because 131306552005 - 217 = 131306420933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131306552009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651426 + ... + 828835.

It is an arithmetic number, because the mean of its divisors is an integer number (9998429679).

Almost surely, 2131306552005 is an apocalyptic number.

It is an amenable number.

131306552005 is a deficient number, since it is larger than the sum of its proper divisors (28668322859).

131306552005 is a wasteful number, since it uses less digits than its factorization.

131306552005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480536.

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 131306552005 in words is "one hundred thirty-one billion, three hundred six million, five hundred fifty-two thousand, five".

Divisors: 1 5 113 157 565 785 17741 88705 1480261 7401305 167269493 232400977 836347465 1162004885 26261310401 131306552005