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131201141213536 = 2531132259214933
BaseRepresentation
bin11101110101001110100101…
…011010101000100101100000
3122012112201002010010001102021
4131311032211122220211200
5114144044414122313121
61143012545554431224
736430653405441622
oct3565164532504540
9565481063101367
10131201141213536
11388941008989a9
121286b7b0892514
1358292a3420874
1424582520b2c12
151027c9955b641
hex7753a56a8960

131201141213536 has 24 divisors (see below), whose sum is σ = 266634577306944. Its totient is φ = 63484423167360.

The previous prime is 131201141213413. The next prime is 131201141213537. The reversal of 131201141213536 is 635312141102131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201141213537) 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 3 ways as a sum of consecutive naturals, for example, 66129606475 + ... + 66129608458.

It is an arithmetic number, because the mean of its divisors is an integer number (11109774054456).

Almost surely, 2131201141213536 is an apocalyptic number.

131201141213536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131201141213536 is an abundant number, since it is smaller than the sum of its proper divisors (135433436093408).

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

131201141213536 is a wasteful number, since it uses less digits than its factorization.

131201141213536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132259214974 (or 132259214966 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

Adding to 131201141213536 its reverse (635312141102131), we get a palindrome (766513282315667).

The spelling of 131201141213536 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-one million, two hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 132259214933 264518429866 529036859732 1058073719464 2116147438928 4100035662923 4232294877856 8200071325846 16400142651692 32800285303384 65600570606768 131201141213536