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312331202112 = 26318119346567
BaseRepresentation
bin1001000101110000110…
…00111110111001000000
31002212011220020222222110
410202320120332321000
520104123241431422
6355252153335320
731364600262036
oct4427030767100
91085156228873
10312331202112
11110505903a26
1250647107540
13235b67973c7
141118cb36556
1581d005360c
hex48b863ee40

312331202112 has 112 divisors (see below), whose sum is σ = 835265255552. Its totient is φ = 102996541440.

The previous prime is 312331202089. The next prime is 312331202143. The reversal of 312331202112 is 211202133213.

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, 6683853 + ... + 6730419.

It is an arithmetic number, because the mean of its divisors is an integer number (7457725496).

Almost surely, 2312331202112 is an apocalyptic number.

312331202112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312331202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417632627776).

312331202112 is an abundant number, since it is smaller than the sum of its proper divisors (522934053440).

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

312331202112 is a wasteful number, since it uses less digits than its factorization.

312331202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46956 (or 46946 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312331202112 its reverse (211202133213), we get a palindrome (523533335325).

The spelling of 312331202112 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 193 362 386 543 579 724 772 1086 1158 1448 1544 2172 2316 2896 3088 4344 4632 5792 6176 8688 9264 11584 12352 17376 18528 34752 34933 37056 46567 69866 93134 104799 139701 139732 186268 209598 279402 279464 372536 419196 558804 558928 745072 838392 1117608 1117856 1490144 1676784 2235216 2235712 2980288 3353568 4470432 6707136 8428627 8940864 8987431 16857254 17974862 25285881 26962293 33714508 35949724 50571762 53924586 67429016 71899448 101143524 107849172 134858032 143798896 202287048 215698344 269716064 287597792 404574096 431396688 539432128 575195584 809148192 862793376 1618296384 1626725011 1725586752 3253450022 4880175033 6506900044 9760350066 13013800088 19520700132 26027600176 39041400264 52055200352 78082800528 104110400704 156165601056 312331202112