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312113020000 = 255497160883
BaseRepresentation
bin1001000101010110110…
…00101011110001100000
31002211121200201012101111
410202223120223301200
520103201413120000
6355214401113104
731356310616425
oct4425330536140
91084550635344
10312113020000
11110403732531
12505a6028794
1323580515272
141116bb7dd4c
1581bad06cba
hex48ab62bc60

312113020000 has 120 divisors (see below), whose sum is σ = 775765594296. Its totient is φ = 123557376000.

The previous prime is 312113019997. The next prime is 312113020183. The reversal of 312113020000 is 20311213.

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 19 ways as a sum of consecutive naturals, for example, 1859559 + ... + 2020441.

Almost surely, 2312113020000 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 312113020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387882797148).

312113020000 is an abundant number, since it is smaller than the sum of its proper divisors (463652574296).

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

312113020000 is an equidigital number, since it uses as much as digits as its factorization.

312113020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161010 (or 160987 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 312113020000 its reverse (20311213), we get a palindrome (312133331213).

The spelling of 312113020000 in words is "three hundred twelve billion, one hundred thirteen million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 625 776 800 970 1000 1250 1552 1940 2000 2425 2500 3104 3880 4000 4850 5000 7760 9700 10000 12125 15520 19400 20000 24250 38800 48500 60625 77600 97000 121250 160883 194000 242500 321766 388000 485000 643532 804415 970000 1287064 1608830 1940000 2574128 3217660 4022075 5148256 6435320 8044150 12870640 15605651 16088300 20110375 25741280 31211302 32176600 40220750 62422604 64353200 78028255 80441500 100551875 124845208 128706400 156056510 160883000 201103750 249690416 312113020 321766000 390141275 402207500 499380832 624226040 643532000 780282550 804415000 1248452080 1560565100 1608830000 1950706375 2496904160 3121130200 3217660000 3901412750 6242260400 7802825500 9753531875 12484520800 15605651000 19507063750 31211302000 39014127500 62422604000 78028255000 156056510000 312113020000