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13103603064320 = 29573229306191
BaseRepresentation
bin1011111010101110101110…
…0110110001111000000000
31201101200200121221111120212
42332223223212301320000
53204142134341024240
643511413453453252
72521463333203526
oct276535346617000
951350617844525
1013103603064320
1141a22303573aa
1215776961a1228
13740883aab982
143343097d2316
1517acc4d8b165
hexbeaeb9b1e00

13103603064320 has 160 divisors (see below), whose sum is σ = 31987498561920. Its totient is φ = 5147049000960.

The previous prime is 13103603064317. The next prime is 13103603064337. The reversal of 13103603064320 is 2346030630131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 42642425 + ... + 42948615.

It is an arithmetic number, because the mean of its divisors is an integer number (199921866012).

Almost surely, 213103603064320 is an apocalyptic number.

13103603064320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103603064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993749280960).

13103603064320 is an abundant number, since it is smaller than the sum of its proper divisors (18883895497600).

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

13103603064320 is an equidigital number, since it uses as much as digits as its factorization.

13103603064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306516 (or 306500 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 13103603064320 its reverse (2346030630131), we get a palindrome (15449633694451).

The spelling of 13103603064320 in words is "thirteen trillion, one hundred three billion, six hundred three million, sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 229 256 292 320 365 458 512 584 640 730 916 1145 1168 1280 1460 1832 2290 2336 2560 2920 3664 4580 4672 5840 7328 9160 9344 11680 14656 16717 18320 18688 23360 29312 33434 36640 37376 46720 58624 66868 73280 83585 93440 117248 133736 146560 167170 186880 267472 293120 306191 334340 534944 586240 612382 668680 1069888 1224764 1337360 1530955 2139776 2449528 2674720 3061910 4279552 4899056 5349440 6123820 8559104 9798112 10698880 12247640 19596224 21397760 22351943 24495280 39192448 42795520 44703886 48990560 70117739 78384896 89407772 97981120 111759715 140235478 156769792 178815544 195962240 223519430 280470956 350588695 357631088 391924480 447038860 560941912 701177390 715262176 783848960 894077720 1121883824 1402354780 1430524352 1788155440 2243767648 2804709560 2861048704 3576310880 4487535296 5118594947 5609419120 5722097408 7152621760 8975070592 10237189894 11218838240 11444194816 14305243520 17950141184 20474379788 22437676480 25592974735 28610487040 35900282368 40948759576 44875352960 51185949470 57220974080 81897519152 89750705920 102371898940 163795038304 179501411840 204743797880 327590076608 409487595760 655180153216 818975191520 1310360306432 1637950383040 2620720612864 3275900766080 6551801532160 13103603064320