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131320122011305 = 5152891717837949
BaseRepresentation
bin11101110110111101011001…
…001110010110111010101001
3122012222002012002110211021221
4131312331121032112322221
5114203022102213330210
61143143344202102041
736442365020516143
oct3566753116267251
9565862162424257
10131320122011305
113892a607404327
121288a8771aa921
135837585406796
14245dcdbd0dc93
15102ae0ecdb1da
hex776f59396ea9

131320122011305 has 8 divisors (see below), whose sum is σ = 157594453533000. Its totient is φ = 105049226196096.

The previous prime is 131320122011293. The next prime is 131320122011329. The reversal of 131320122011305 is 503110221023131.

It can be written as a sum of positive squares in 4 ways, for example, as 8974865572864 + 122345256438441 = 2995808^2 + 11060979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131320122011305 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131320122011305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 858842530 + ... + 858995419.

It is an arithmetic number, because the mean of its divisors is an integer number (19699306691625).

Almost surely, 2131320122011305 is an apocalyptic number.

It is an amenable number.

131320122011305 is a deficient number, since it is larger than the sum of its proper divisors (26274331521695).

131320122011305 is a wasteful number, since it uses less digits than its factorization.

131320122011305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717853243.

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 131320122011305 its reverse (503110221023131), we get a palindrome (634430343034436).

The spelling of 131320122011305 in words is "one hundred thirty-one trillion, three hundred twenty billion, one hundred twenty-two million, eleven thousand, three hundred five".

Divisors: 1 5 15289 76445 1717837949 8589189745 26264024402261 131320122011305