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131306536601 = 1375581171733
BaseRepresentation
bin111101001001001111…
…0101011111010011001
3110112220222102011220022
41322102132223322121
54122403433132401
6140153230440225
712325620100652
oct1722236537231
9415828364808
10131306536601
1150761131449
1221546363075
13c4c778ab06
1464d8c0c529
1536378e571b
hex1e927abe99

131306536601 has 8 divisors (see below), whose sum is σ = 132289447944. Its totient is φ = 130323980160.

The previous prime is 131306536597. The next prime is 131306536607. The reversal of 131306536601 is 106635603131.

It can be written as a sum of positive squares in 4 ways, for example, as 35298894400 + 96007642201 = 187880^2 + 309851^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131306536601 - 22 = 131306536597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131306536607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 678731 + ... + 850463.

It is an arithmetic number, because the mean of its divisors is an integer number (16536180993).

Almost surely, 2131306536601 is an apocalyptic number.

It is an amenable number.

131306536601 is a deficient number, since it is larger than the sum of its proper divisors (982911343).

131306536601 is a wasteful number, since it uses less digits than its factorization.

131306536601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177451.

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 131306536601 in words is "one hundred thirty-one billion, three hundred six million, five hundred thirty-six thousand, six hundred one".

Divisors: 1 137 5581 171733 764597 23527421 958441873 131306536601