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131410452013 = 1729653408197
BaseRepresentation
bin111101001100010101…
…1000101111000101101
3110120012012221122001021
41322120223011320231
54123112033431023
6140211422014141
712331321261231
oct1723053057055
9416165848037
10131410452013
1150804857655
1221575117351
13c513172819
14650893c5c1
153641ac035d
hex1e98ac5e2d

131410452013 has 16 divisors (see below), whose sum is σ = 144159205680. Its totient is φ = 119232418816.

The previous prime is 131410452011. The next prime is 131410452143. The reversal of 131410452013 is 310254014131.

It can be written as a sum of positive squares in 8 ways, for example, as 10575654244 + 120834797769 = 102838^2 + 347613^2 .

It is a cyclic number.

It is not a de Polignac number, because 131410452013 - 21 = 131410452011 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 (131410452011) 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, 117831 + ... + 526027.

It is an arithmetic number, because the mean of its divisors is an integer number (9009950355).

Almost surely, 2131410452013 is an apocalyptic number.

It is an amenable number.

131410452013 is a deficient number, since it is larger than the sum of its proper divisors (12748753667).

131410452013 is a wasteful number, since it uses less digits than its factorization.

131410452013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408896.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 131410452013 its reverse (310254014131), we get a palindrome (441664466144).

The spelling of 131410452013 in words is "one hundred thirty-one billion, four hundred ten million, four hundred fifty-two thousand, thirteen".

Divisors: 1 17 29 493 653 11101 18937 321929 408197 6939349 11837713 201241121 266552641 4531394897 7730026589 131410452013