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131303142134412 = 22311131983013971
BaseRepresentation
bin11101110110101101100101…
…001001010001001010001100
3122012220110100201211201002120
4131312231211021101022030
5114202232313341300122
61143131455240252540
736441224160115653
oct3566554511211214
9565813321751076
10131303142134412
113892339373a516
1212887518771150
135835aaa63a851
14245d16ab8c19a
15102a76928b75c
hex776b6525128c

131303142134412 has 24 divisors (see below), whose sum is σ = 306401523016512. Its totient is φ = 43763781944400.

The previous prime is 131303142134401. The next prime is 131303142134419. The reversal of 131303142134412 is 214431241303131.

It is a happy number.

131303142134412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131303142134419) 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 7 ways as a sum of consecutive naturals, for example, 491373414 + ... + 491640557.

It is an arithmetic number, because the mean of its divisors is an integer number (12766730125688).

Almost surely, 2131303142134412 is an apocalyptic number.

131303142134412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303142134412 is an abundant number, since it is smaller than the sum of its proper divisors (175098380882100).

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

131303142134412 is a wasteful number, since it uses less digits than its factorization.

131303142134412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983025109 (or 983025107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131303142134412 its reverse (214431241303131), we get a palindrome (345734383437543).

The spelling of 131303142134412 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred forty-two million, one hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 11131 22262 33393 44524 66786 133572 983013971 1966027942 2949041913 3932055884 5898083826 11796167652 10941928511201 21883857022402 32825785533603 43767714044804 65651571067206 131303142134412