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312113100401340 = 223574317282009989
BaseRepresentation
bin100011011110111010111111…
…0011110101010101010111100
31111221002201110121101101002220
41012331311332132222222330
5311402130112200320330
63023450440124245340
7122512266405162030
oct10675657636525274
91457081417341086
10312113100401340
11904a347144a897
122b0097399a0850
13105201a672a1b4
1457104d72981c0
152613ba0b4e710
hex11bdd7e7aaabc

312113100401340 has 96 divisors (see below), whose sum is σ = 1021988942768640. Its totient is φ = 69681064271616.

The previous prime is 312113100401327. The next prime is 312113100401371. The reversal of 312113100401340 is 43104001311213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312113100401340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8640986935 + ... + 8641023054.

It is an arithmetic number, because the mean of its divisors is an integer number (10645718153840).

Almost surely, 2312113100401340 is an apocalyptic number.

312113100401340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312113100401340 is an abundant number, since it is smaller than the sum of its proper divisors (709875842367300).

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

312113100401340 is a wasteful number, since it uses less digits than its factorization.

312113100401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17282010051 (or 17282010049 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 312113100401340 its reverse (43104001311213), we get a palindrome (355217101712553).

The spelling of 312113100401340 in words is "three hundred twelve trillion, one hundred thirteen billion, one hundred million, four hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 860 903 1204 1290 1505 1806 2580 3010 3612 4515 6020 9030 18060 17282009989 34564019978 51846029967 69128039956 86410049945 103692059934 120974069923 172820099890 207384119868 241948139846 259230149835 345640199780 362922209769 483896279692 518460299670 604870349615 725844419538 743126429527 1036920599340 1209740699230 1451688839076 1486252859054 1814611048845 2229379288581 2419481398460 2972505718108 3629222097690 3715632147635 4458758577162 5201885006689 7258444195380 7431264295270 8917517154324 10403770013378 11146896442905 14862528590540 15605655020067 20807540026756 22293792885810 26009425033445 31211310040134 44587585771620 52018850066890 62422620080268 78028275100335 104037700133780 156056550200670 312113100401340