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131201421200311 = 71113912258378137
BaseRepresentation
bin11101110101001110110110…
…000110101100101110110111
3122012112201210121221212001211
4131311032312012230232313
5114144101002311402221
61143013033435502251
736430663345335610
oct3565166606545667
9565481717855054
10131201421200311
1138894234943130
121286b86a5b7987
135829319432207
14245827b356c07
151027cb3e156e1
hex7753b61acbb7

131201421200311 has 16 divisors (see below), whose sum is σ = 164752602174720. Its totient is φ = 101499370966080.

The previous prime is 131201421200251. The next prime is 131201421200357. The reversal of 131201421200311 is 113002124102131.

It is a cyclic number.

It is not a de Polignac number, because 131201421200311 - 229 = 131200884329399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201421200911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6129178366 + ... + 6129199771.

It is an arithmetic number, because the mean of its divisors is an integer number (10297037635920).

Almost surely, 2131201421200311 is an apocalyptic number.

131201421200311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131201421200311 is a deficient number, since it is larger than the sum of its proper divisors (33551180974409).

131201421200311 is a wasteful number, since it uses less digits than its factorization.

131201421200311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258378294.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131201421200311 its reverse (113002124102131), we get a palindrome (244203545302442).

The spelling of 131201421200311 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred twenty-one million, two hundred thousand, three hundred eleven".

Divisors: 1 7 11 77 139 973 1529 10703 12258378137 85808646959 134842159507 943895116549 1703914561043 11927401927301 18743060171473 131201421200311