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311312030000 = 245475141453
BaseRepresentation
bin1001000011110111010…
…01001001100100110000
31002202112212111200200012
410201323221021210300
520100031334430000
6355003105114052
731330413410546
oct4417351114460
91082485450605
10311312030000
11110032585924
1250401928928
13234835a689a
14110d3637d96
158170836735
hex487ba49930

311312030000 has 100 divisors (see below), whose sum is σ = 754739381088. Its totient is φ = 124356000000.

The previous prime is 311312029999. The next prime is 311312030039. The reversal of 311312030000 is 30213113.

It is a tau number, because it is divible by the number of its divisors (100).

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, 7489274 + ... + 7530726.

Almost surely, 2311312030000 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 311312030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377369690544).

311312030000 is an abundant number, since it is smaller than the sum of its proper divisors (443427351088).

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

311312030000 is an equidigital number, since it uses as much as digits as its factorization.

311312030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42232 (or 42211 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 311312030000 its reverse (30213113), we get a palindrome (311342243113).

The spelling of 311312030000 in words is "three hundred eleven billion, three hundred twelve million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 751 1000 1250 1502 2000 2500 3004 3755 5000 6008 7510 10000 12016 15020 18775 30040 37550 41453 60080 75100 82906 93875 150200 165812 187750 207265 300400 331624 375500 414530 469375 663248 751000 829060 938750 1036325 1502000 1658120 1877500 2072650 3316240 3755000 4145300 5181625 7510000 8290600 10363250 16581200 20726500 25908125 31131203 41453000 51816250 62262406 82906000 103632500 124524812 155656015 207265000 249049624 311312030 414530000 498099248 622624060 778280075 1245248120 1556560150 2490496240 3113120300 3891400375 6226240600 7782800750 12452481200 15565601500 19457001875 31131203000 38914003750 62262406000 77828007500 155656015000 311312030000