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131300143412321 = 13292817191723807
BaseRepresentation
bin11101110110101010110010…
…011010000011010001100001
3122012220011121202012211201102
4131312222302122003101201
5114202210143203143241
61143130241515244145
736441056645314652
oct3566526232032141
9565804552184642
10131300143412321
1138922094a721a4
1212886a20449655
1358357202b2b90
14245cd647d9529
15102a640d9b39b
hex776ab2683461

131300143412321 has 32 divisors (see below), whose sum is σ = 147000830054400. Its totient is φ = 116442129968640.

The previous prime is 131300143412287. The next prime is 131300143412353. The reversal of 131300143412321 is 123214341003131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131300143412321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131300143462321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75306800 + ... + 77030606.

It is an arithmetic number, because the mean of its divisors is an integer number (4593775939200).

Almost surely, 2131300143412321 is an apocalyptic number.

It is an amenable number.

131300143412321 is a deficient number, since it is larger than the sum of its proper divisors (15700686642079).

131300143412321 is a wasteful number, since it uses less digits than its factorization.

131300143412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724849.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131300143412321 its reverse (123214341003131), we get a palindrome (254514484415452).

The spelling of 131300143412321 in words is "one hundred thirty-one trillion, three hundred billion, one hundred forty-three million, four hundred twelve thousand, three hundred twenty-one".

Divisors: 1 13 29 281 377 719 3653 8149 9347 20851 105937 202039 271063 1723807 2626507 5859131 22409491 49990403 76168703 484389767 649875239 1239417233 6297066971 14047303243 16112424029 35943099757 182614942159 348276242473 467260296841 4527591152149 10100011031717 131300143412321