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13103122230304 = 256167427323447
BaseRepresentation
bin1011111010101100111011…
…1100100010110000100000
31201101122110010011121022121
42332223032330202300200
53204140143242332204
643511254035514024
72521445404163221
oct276531674426040
951348403147277
1013103122230304
1141a20039a0717
121577581158914
137408082a74c2
143342a19c9248
1517ac97a5bb54
hexbeacef22c20

13103122230304 has 96 divisors (see below), whose sum is σ = 26618371065216. Its totient is φ = 6346220728320.

The previous prime is 13103122230293. The next prime is 13103122230313. The reversal of 13103122230304 is 40303222130131.

13103122230304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558828309 + ... + 558851755.

It is an arithmetic number, because the mean of its divisors is an integer number (277274698596).

Almost surely, 213103122230304 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 13103122230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309185532608).

13103122230304 is an abundant number, since it is smaller than the sum of its proper divisors (13515248834912).

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

13103122230304 is a wasteful number, since it uses less digits than its factorization.

13103122230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27858 (or 27850 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13103122230304 its reverse (40303222130131), we get a palindrome (53406344360435).

The spelling of 13103122230304 in words is "thirteen trillion, one hundred three billion, one hundred twenty-two million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 61 67 122 134 244 268 488 536 976 1072 1952 2144 4087 4273 8174 8546 16348 17092 23447 32696 34184 46894 65392 68368 93788 130784 136736 187576 260653 286291 375152 521306 572582 750304 1042612 1145164 1430267 1570949 2085224 2290328 2860534 3141898 4170448 4580656 5721068 6283796 8340896 9161312 11442136 12567592 17463751 22884272 25135184 34927502 45768544 50270368 69855004 95827889 100189031 139710008 191655778 200378062 279420016 383311556 400756124 558840032 766623112 801512248 1533246224 1603024496 3066492448 3206048992 6111530891 6712665077 12223061782 13425330154 24446123564 26850660308 48892247128 53701320616 97784494256 107402641232 195568988512 214805282464 409472569697 818945139394 1637890278788 3275780557576 6551561115152 13103122230304