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131326532401 = 521701359581
BaseRepresentation
bin111101001001110101…
…0111101101100110001
3110112222101001001222111
41322103222331230301
54122424043014101
6140155223205321
712326252051521
oct1722352755461
9415871031874
10131326532401
11507714495a9
1221550ba6841
13c4cb96c34c
1464db735681
153639545251
hex1e93abdb31

131326532401 has 8 divisors (see below), whose sum is σ = 131766666408. Its totient is φ = 130887120000.

The previous prime is 131326532399. The next prime is 131326532413. The reversal of 131326532401 is 104235623131.

It can be written as a sum of positive squares in 4 ways, for example, as 6336000801 + 124990531600 = 79599^2 + 353540^2 .

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 131326532401 - 21 = 131326532399 is a prime.

It is a super-2 number, since 2×1313265324012 (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 (131326532101) 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, 185431 + ... + 545011.

It is an arithmetic number, because the mean of its divisors is an integer number (16470833301).

Almost surely, 2131326532401 is an apocalyptic number.

It is an amenable number.

131326532401 is a deficient number, since it is larger than the sum of its proper divisors (440134007).

131326532401 is an equidigital number, since it uses as much as digits as its factorization.

131326532401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360803.

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 131326532401 in words is "one hundred thirty-one billion, three hundred twenty-six million, five hundred thirty-two thousand, four hundred one".

Divisors: 1 521 701 359581 365221 187341701 252066281 131326532401