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312313340112 = 24367187951683
BaseRepresentation
bin1001000101101110101…
…00110110000011010000
31002212010122122111220220
410202313110312003100
520104104203340422
6355250314433040
731364262406164
oct4426724660320
91085118574826
10312313340112
111104a6813a44
1250641132780
13235b2b82187
141118a606ca4
1581cd6c5e5c
hex48b75360d0

312313340112 has 80 divisors (see below), whose sum is σ = 819303037440. Its totient is φ = 102494088576.

The previous prime is 312313340083. The next prime is 312313340191. The reversal of 312313340112 is 211043313213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6017023 + ... + 6068705.

It is an arithmetic number, because the mean of its divisors is an integer number (10241287968).

Almost surely, 2312313340112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312313340112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409651518720).

312313340112 is an abundant number, since it is smaller than the sum of its proper divisors (506989697328).

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

312313340112 is a wasteful number, since it uses less digits than its factorization.

312313340112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53640 (or 53634 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312313340112 its reverse (211043313213), we get a palindrome (523356653325).

The spelling of 312313340112 in words is "three hundred twelve billion, three hundred thirteen million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 1879 3216 3758 5637 7516 11274 15032 22548 30064 45096 51683 90192 103366 125893 155049 206732 251786 310098 377679 413464 503572 620196 755358 826928 1007144 1240392 1510716 2014288 2480784 3021432 3462761 6042864 6925522 10388283 13851044 20776566 27702088 41553132 55404176 83106264 97112357 166212528 194224714 291337071 388449428 582674142 776898856 1165348284 1553797712 2330696568 4661393136 6506527919 13013055838 19519583757 26026111676 39039167514 52052223352 78078335028 104104446704 156156670056 312313340112