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313110220224042 = 232683190113397443
BaseRepresentation
bin100011100110001011010011…
…1011100111011011000101010
31112001122001012121020122002200
41013030112213130323120222
5312014444212334132132
63025532503250441030
7122644316100630513
oct10714264734733052
91461561177218080
10313110220224042
119084833160596a
122b14aa37293176
13105932230a57c7
145746888da9a0a
15262eaae5ded7c
hex11cc5a773b62a

313110220224042 has 48 divisors (see below), whose sum is σ = 679756191105888. Its totient is φ = 104162432061600.

The previous prime is 313110220224029. The next prime is 313110220224073. The reversal of 313110220224042 is 240422022011313.

313110220224042 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 10 + 220 + 22 + 404 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313110220223997 and 313110220224015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16672173 + ... + 30069615.

It is an arithmetic number, because the mean of its divisors is an integer number (14161587314706).

Almost surely, 2313110220224042 is an apocalyptic number.

313110220224042 is an abundant number, since it is smaller than the sum of its proper divisors (366645970881846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313110220224042 is a wasteful number, since it uses less digits than its factorization.

313110220224042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400035 (or 13400032 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 313110220224042 its reverse (240422022011313), we get a palindrome (553532242235355).

The spelling of 313110220224042 in words is "three hundred thirteen trillion, one hundred ten billion, two hundred twenty million, two hundred twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 683 1366 1901 2049 3802 4098 5703 6147 11406 12294 17109 34218 1298383 2596766 3895149 7790298 11685447 13397443 23370894 26794886 40192329 80384658 120576987 241153974 9150453569 18300907138 25468539143 27451360707 50937078286 54902721414 76405617429 82354082121 152811234858 164708164242 229216852287 458433704574 17395012234669 34790024469338 52185036704007 104370073408014 156555110112021 313110220224042