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310103301013 = 111012938591109
BaseRepresentation
bin1001000001100111001…
…10001101101110010101
31002122102122001220012221
410200303212031232111
520040042421113023
6354243125542341
731255435365412
oct4406346155625
91078378056187
10310103301013
1110a572257950
1250124b749b1
132332004722c
141101acb5109
1580ee67485d
hex483398db95

310103301013 has 32 divisors (see below), whose sum is σ = 343518537600. Its totient is φ = 277593888000.

The previous prime is 310103300981. The next prime is 310103301029.

310103301013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310103301013 - 25 = 310103300981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310103301913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279623703 + ... + 279624811.

It is an arithmetic number, because the mean of its divisors is an integer number (10734954300).

Almost surely, 2310103301013 is an apocalyptic number.

It is an amenable number.

310103301013 is a deficient number, since it is larger than the sum of its proper divisors (33415236587).

310103301013 is a wasteful number, since it uses less digits than its factorization.

310103301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373.

The product of its (nonzero) digits is 81, while the sum is 16.

It can be divided in two parts, 310103 and 301013, that added together give a palindrome (611116).

The spelling of 310103301013 in words is "three hundred ten billion, one hundred three million, three hundred one thousand, thirteen".

Divisors: 1 11 101 293 859 1109 1111 3223 9449 12199 29593 86759 112009 251687 324937 325523 952631 954349 1232099 2768557 3574307 10478941 25420387 32818637 96215731 279120883 279624257 361005007 1058373041 3070329713 28191209183 310103301013