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313623141326313 = 37131148802715481
BaseRepresentation
bin100011101001111010001001…
…1111011101001110111101001
31112010110002010221210100110120
41013103310103323221313221
5312101400143134420223
63031004252050033453
7123026344544232240
oct10723642373516751
91463402127710416
10313623141326313
1190a2591115a785
122b212323578889
13105cc6c615c810
14576362629b957
15263d0ce78cbe3
hex11d3d13ee9de9

313623141326313 has 16 divisors (see below), whose sum is σ = 514663616535936. Its totient is φ = 165427591029120.

The previous prime is 313623141326309. The next prime is 313623141326321.

313623141326313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313623141326313 - 22 = 313623141326309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313623141326353) 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, 574401357468 + ... + 574401358013.

It is an arithmetic number, because the mean of its divisors is an integer number (32166476033496).

Almost surely, 2313623141326313 is an apocalyptic number.

It is an amenable number.

313623141326313 is a deficient number, since it is larger than the sum of its proper divisors (201040475209623).

313623141326313 is a wasteful number, since it uses less digits than its factorization.

313623141326313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148802715504.

The product of its digits is 419904, while the sum is 42.

The spelling of 313623141326313 in words is "three hundred thirteen trillion, six hundred twenty-three billion, one hundred forty-one million, three hundred twenty-six thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 1148802715481 3446408146443 8041619008367 14934435301253 24124857025101 44803305903759 104541047108771 313623141326313