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311303323303113 = 31017603135131357
BaseRepresentation
bin100011011001000001111010…
…0000000001011110011001001
31111211020022021211220120202010
41012302003310000023303021
5311300343201231144423
63022030434502530133
7122366631361335321
oct10662036400136311
91454208254816663
10311303323303113
1190210aa8386529
122aab8805136949
1310491a150087cb
1456c3238634281
1525ecaa932e693
hex11b20f400bcc9

311303323303113 has 16 divisors (see below), whose sum is σ = 419235849262656. Its totient is φ = 205453713662400.

The previous prime is 311303323303109. The next prime is 311303323303157.

311303323303113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311303323303113 - 22 = 311303323303109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311303323303813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65261970 + ... + 69869387.

It is an arithmetic number, because the mean of its divisors is an integer number (26202240578916).

Almost surely, 2311303323303113 is an apocalyptic number.

It is an amenable number.

311303323303113 is a deficient number, since it is larger than the sum of its proper divisors (107932525959543).

311303323303113 is a wasteful number, since it uses less digits than its factorization.

311303323303113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135139064.

The product of its (nonzero) digits is 13122, while the sum is 30.

The spelling of 311303323303113 in words is "three hundred eleven trillion, three hundred three billion, three hundred twenty-three million, three hundred three thousand, one hundred thirteen".

Divisors: 1 3 101 303 7603 22809 767903 2303709 135131357 405394071 13648267057 40944801171 1027403707271 3082211121813 103767774434371 311303323303113