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312113020001112 = 2332111933203870717
BaseRepresentation
bin100011011110111010111100…
…1101011111101101101011000
31111221002201021000002121201200
41012331311321223331231120
5311402124431110013422
63023450424133114200
7122512264410611031
oct10675657153755530
91457081230077650
10312113020001112
11904a3430025a20
122b009716a88960
1310520192b898b5
1457104ca729a88
152613b98a6c2ac
hex11bdd79afdb58

312113020001112 has 96 divisors (see below), whose sum is σ = 922629166552080. Its totient is φ = 94530773594880.

The previous prime is 312113020000973. The next prime is 312113020001119. The reversal of 312113020001112 is 211100020311213.

312113020001112 is a `hidden beast` number, since 312 + 1 + 130 + 200 + 0 + 11 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113020001119) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100404423 + ... + 103466294.

Almost surely, 2312113020001112 is an apocalyptic number.

It is an amenable number.

312113020001112 is an abundant number, since it is smaller than the sum of its proper divisors (610516146550968).

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

312113020001112 is a wasteful number, since it uses less digits than its factorization.

312113020001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203872673 (or 203872666 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312113020001112 its reverse (211100020311213), we get a palindrome (523213040312325).

The spelling of 312113020001112 in words is "three hundred twelve trillion, one hundred thirteen billion, twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1933 3866 5799 7732 11598 15464 17397 21263 23196 34794 42526 46392 63789 69588 85052 127578 139176 170104 191367 255156 382734 510312 765468 1530936 203870717 407741434 611612151 815482868 1223224302 1630965736 1834836453 2242577887 2446448604 3669672906 4485155774 4892897208 6727733661 7339345812 8970311548 13455467322 14678691624 17940623096 20183200983 26910934644 40366401966 53821869288 80732803932 161465607864 394082095961 788164191922 1182246287883 1576328383844 2364492575766 3152656767688 3546738863649 4334903055571 4728985151532 7093477727298 8669806111142 9457970303064 13004709166713 14186955454596 17339612222284 26009418333426 28373910909192 34679224444568 39014127500139 52018836666852 78028255000278 104037673333704 156056510000556 312113020001112