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1031300330312 = 237611514614337
BaseRepresentation
bin11110000000111100100…
…10100011001101001000
310122120222002111221201002
433000132102203031020
5113344100341032222
62105434533114132
7134336404112240
oct17003622431510
93576862457632
101031300330312
1136841017237a
12147a58488948
1376335b83055
1437cb545ab20
151bc5e5e8392
hexf01e4a3348

1031300330312 has 128 divisors (see below), whose sum is σ = 2266459937280. Its totient is φ = 430824960000.

The previous prime is 1031300330213. The next prime is 1031300330327. The reversal of 1031300330312 is 2130330031301.

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 31 ways as a sum of consecutive naturals, for example, 237789008 + ... + 237793344.

It is an arithmetic number, because the mean of its divisors is an integer number (17706718260).

Almost surely, 21031300330312 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 1031300330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133229968640).

1031300330312 is an abundant number, since it is smaller than the sum of its proper divisors (1235159606968).

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

1031300330312 is a wasteful number, since it uses less digits than its factorization.

1031300330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1031300330312 its reverse (2130330031301), we get a palindrome (3161630361613).

The spelling of 1031300330312 in words is "one trillion, thirty-one billion, three hundred million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 61 122 151 244 302 427 461 488 604 854 922 1057 1208 1708 1844 2114 3227 3416 3688 4228 4337 6454 8456 8674 9211 12908 17348 18422 25816 28121 30359 34696 36844 56242 60718 64477 69611 73688 112484 121436 128954 139222 196847 224968 242872 257908 264557 278444 393694 487277 515816 529114 556888 654887 787388 974554 1058228 1309774 1574776 1851899 1949108 1999357 2116456 2619548 3703798 3898216 3998714 4246271 4584209 5239096 7407596 7997428 8492542 9168418 13995499 14815192 15994856 16985084 18336836 27990998 29723897 33970168 36673672 39948107 55981996 59447794 79896214 111963992 118895588 121960777 159792428 237791176 243921554 279636749 301902907 319584856 487843108 559273498 603805814 853725439 975686216 1118546996 1207611628 1707450878 2113320349 2237093992 2415223256 3414901756 4226640698 6829803512 8453281396 16906562792 18416077327 36832154654 73664309308 128912541289 147328618616 257825082578 515650165156 1031300330312