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103203313333312 = 26292063260910331
BaseRepresentation
bin10111011101110011100100…
…110101001011010001000000
3111112102010210100111021001211
4113131303210311023101000
5102011340341203131222
61003254540404335504
730511123212210253
oct2735634465132100
9445363710437054
10103203313333312
112a97a308965445
12b6a95b09a4594
13457805256516a
141b6b0d1c7709a
15bde84d2c1277
hex5ddce4d4b440

103203313333312 has 112 divisors (see below), whose sum is σ = 212060398636800. Its totient is φ = 49774233313280.

The previous prime is 103203313333249. The next prime is 103203313333363. The reversal of 103203313333312 is 213333313302301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9989667987 + ... + 9989678317.

It is an arithmetic number, because the mean of its divisors is an integer number (1893396416400).

Almost surely, 2103203313333312 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 103203313333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106030199318400).

103203313333312 is an abundant number, since it is smaller than the sum of its proper divisors (108857085303488).

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

103203313333312 is a wasteful number, since it uses less digits than its factorization.

103203313333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15044 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 31.

Adding to 103203313333312 its reverse (213333313302301), we get a palindrome (316536626635613).

The spelling of 103203313333312 in words is "one hundred three trillion, two hundred three billion, three hundred thirteen million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2063 2609 4126 5218 8252 10331 10436 16504 20662 20872 33008 41324 41744 59827 66016 75661 82648 83488 119654 132032 151322 165296 166976 239308 299599 302644 330592 478616 599198 605288 661184 957232 1198396 1210576 1914464 2396792 2421152 3828928 4793584 4842304 5382367 9587168 10764734 19174336 21312853 21529468 26953579 42625706 43058936 53907158 85251412 86117872 107814316 156088643 170502824 172235744 215628632 312177286 341005648 344471488 431257264 618072737 624354572 682011296 781653791 862514528 1236145474 1248709144 1364022592 1563307582 1725029056 2472290948 2497418288 3126615164 4944581896 4994836576 6253230328 9889163792 9989673152 12506460656 19778327584 25012921312 39556655168 50025842624 55605233477 111210466954 222420933908 444841867816 889683735632 1612551770833 1779367471264 3225103541666 3558734942528 6450207083332 12900414166664 25800828333328 51601656666656 103203313333312