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131132313130 = 25713144101443
BaseRepresentation
bin111101000100000011…
…0000100111000101010
3110112110211120201020011
41322020012010320222
54122024333010010
6140124044322134
712321403161550
oct1721006047052
9415424521204
10131132313130
1150681854805
12214b7b4334a
13c49a65a2c0
1464bda19bd0
15362747da8a
hex1e88184e2a

131132313130 has 32 divisors (see below), whose sum is σ = 290508511104. Its totient is φ = 41501215296.

The previous prime is 131132313119. The next prime is 131132313133. The reversal of 131132313130 is 31313231131.

It is not an unprimeable number, because it can be changed into a prime (131132313133) 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, 72049812 + ... + 72051631.

It is an arithmetic number, because the mean of its divisors is an integer number (9078390972).

Almost surely, 2131132313130 is an apocalyptic number.

131132313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131132313130 is an abundant number, since it is smaller than the sum of its proper divisors (159376197974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131132313130 is a wasteful number, since it uses less digits than its factorization.

131132313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144101470.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131132313130 its reverse (31313231131), we get a palindrome (162445544261).

The spelling of 131132313130 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 144101443 288202886 720507215 1008710101 1441014430 1873318759 2017420202 3746637518 5043550505 9366593795 10087101010 13113231313 18733187590 26226462626 65566156565 131132313130