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131230300131 = 32725111817027
BaseRepresentation
bin111101000110111101…
…1110111011111100011
3110112201122221222010100
41322031323313133203
54122224424101011
6140141504433443
712324003101130
oct1721573673743
9415648858110
10131230300131
11507220a08a7
1221524918883
13c4b4a47788
1464cca45587
153630d86d56
hex1e8def77e3

131230300131 has 48 divisors (see below), whose sum is σ = 217712371968. Its totient is φ = 74616120000.

The previous prime is 131230300093. The next prime is 131230300139. The reversal of 131230300131 is 131003032131.

It is a happy number.

131230300131 is a `hidden beast` number, since 1 + 3 + 1 + 230 + 300 + 131 = 666.

It is not a de Polignac number, because 131230300131 - 26 = 131230300067 is a prime.

It is a super-2 number, since 2×1312303001312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131230300139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18671640 + ... + 18678666.

It is an arithmetic number, because the mean of its divisors is an integer number (4535674416).

Almost surely, 2131230300131 is an apocalyptic number.

131230300131 is a deficient number, since it is larger than the sum of its proper divisors (86482071837).

131230300131 is a wasteful number, since it uses less digits than its factorization.

131230300131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131230300131 its reverse (131003032131), we get a palindrome (262233332262).

The spelling of 131230300131 in words is "one hundred thirty-one billion, two hundred thirty million, three hundred thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 251 753 1181 1757 2259 3543 5271 7027 8267 10629 15813 21081 24801 49189 63243 74403 147567 296431 442701 889293 1763777 2075017 2667879 5291331 6225051 8298887 12346439 15873993 18675153 24896661 37039317 58092209 74689983 111117951 174276627 522829881 2083020637 6249061911 14581144459 18747185733 43743433377 131230300131