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313103422401041 = 4761624011750123
BaseRepresentation
bin100011100110001000001001…
…0010001010010101000010001
31112001121101122211221110000102
41013030100102101102220101
5312014341302113313131
63025525420533502145
7122643655455243536
oct10714202221225021
91461541584843012
10313103422401041
11908454633a0928
122b14965a7a1955
13105926ab939a2c
14574640223ad8d
15262e8129101cb
hex11cc412452a11

313103422401041 has 16 divisors (see below), whose sum is σ = 325012643835648. Its totient is φ = 301413011328000.

The previous prime is 313103422401013. The next prime is 313103422401151. The reversal of 313103422401041 is 140104224301313.

It is a cyclic number.

It is not a de Polignac number, because 313103422401041 - 226 = 313103355292177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313103422400995 and 313103422401013.

It is not an unprimeable number, because it can be changed into a prime (313103422401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178028606 + ... + 179778728.

It is an arithmetic number, because the mean of its divisors is an integer number (20313290239728).

Almost surely, 2313103422401041 is an apocalyptic number.

It is an amenable number.

313103422401041 is a deficient number, since it is larger than the sum of its proper divisors (11909221434607).

313103422401041 is a wasteful number, since it uses less digits than its factorization.

313103422401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812632.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 313103422401041 its reverse (140104224301313), we get a palindrome (453207646702354).

The spelling of 313103422401041 in words is "three hundred thirteen trillion, one hundred three billion, four hundred twenty-two million, four hundred one thousand, forty-one".

Divisors: 1 47 61 2867 62401 1750123 2932847 3806461 82255781 106757503 178903667 5017602641 109209425323 5132842990181 6661774944703 313103422401041