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13302013312 = 277611991223
BaseRepresentation
bin11000110001101110…
…01001110110000000
31021100001002021211201
430120313021312000
5204220303411222
610035540150544
7650431150630
oct143067116600
937301067751
1013302013312
115706704535
1226b2998454
13133cb25cc3
149029046c0
1552cc0c427
hex318dc9d80

13302013312 has 128 divisors (see below), whose sum is σ = 30962304000. Its totient is φ = 5574666240.

The previous prime is 13302013261. The next prime is 13302013313. The reversal of 13302013312 is 21331020331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13302013312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302013313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10875933 + ... + 10877155.

It is an arithmetic number, because the mean of its divisors is an integer number (241893000).

Almost surely, 213302013312 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 13302013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481152000).

13302013312 is an abundant number, since it is smaller than the sum of its proper divisors (17660290688).

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

13302013312 is a wasteful number, since it uses less digits than its factorization.

13302013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13302013312 its reverse (21331020331), we get a palindrome (34633033643).

The spelling of 13302013312 in words is "thirteen billion, three hundred two million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 199 224 244 398 427 448 488 796 854 896 976 1223 1393 1592 1708 1952 2446 2786 3184 3416 3904 4892 5572 6368 6832 7808 8561 9784 11144 12139 12736 13664 17122 19568 22288 24278 25472 27328 34244 39136 44576 48556 54656 68488 74603 78272 84973 89152 97112 136976 149206 156544 169946 178304 194224 243377 273952 298412 339892 388448 486754 522221 547904 596824 679784 776896 973508 1044442 1095808 1193648 1359568 1553792 1703639 1947016 2088884 2387296 2719136 3407278 3894032 4177768 4774592 5438272 6814556 7788064 8355536 9549184 10876544 13629112 14845997 15576128 16711072 27258224 29691994 31152256 33422144 54516448 59383988 66844288 103921979 109032896 118767976 207843958 218065792 237535952 415687916 475071904 831375832 950143808 1662751664 1900287616 3325503328 6651006656 13302013312