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131310003012 = 22314973439599
BaseRepresentation
bin111101001001010101…
…1111010001101000100
3110112221012221021220220
41322102223322031010
54122410330044022
6140153433024340
712325661416056
oct1722253721504
9415835837826
10131310003012
1150763089851
12215475550b0
13c4c8402846
1464d94718d6
153637d7c85c
hex1e92afa344

131310003012 has 24 divisors (see below), whose sum is σ = 308446320000. Its totient is φ = 43476242016.

The previous prime is 131310002983. The next prime is 131310003047. The reversal of 131310003012 is 210300013131.

It is a super-2 number, since 2×1313100030122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131310002982 and 131310003000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36718012 + ... + 36721587.

It is an arithmetic number, because the mean of its divisors is an integer number (12851930000).

Almost surely, 2131310003012 is an apocalyptic number.

131310003012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131310003012 is an abundant number, since it is smaller than the sum of its proper divisors (177136316988).

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

131310003012 is a wasteful number, since it uses less digits than its factorization.

131310003012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73439755 (or 73439753 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131310003012 its reverse (210300013131), we get a palindrome (341610016143).

The spelling of 131310003012 in words is "one hundred thirty-one billion, three hundred ten million, three thousand, twelve".

Divisors: 1 2 3 4 6 12 149 298 447 596 894 1788 73439599 146879198 220318797 293758396 440637594 881275188 10942500251 21885000502 32827500753 43770001004 65655001506 131310003012