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13103000031300 = 22352617308322961
BaseRepresentation
bin1011111010101100011110…
…1010011001000001000100
31201101122010121020020210120
42332223013222121001010
53204134421002000200
643511233552421540
72521442361413004
oct276530752310104
951348117206716
1013103000031300
1141a1a50a17803
1215775482478b0
137407b8b906ba
1433428d69a004
1517ac8be6e9a0
hexbeac7a99044

13103000031300 has 144 divisors (see below), whose sum is σ = 37986762566592. Its totient is φ = 3487186841600.

The previous prime is 13103000031283. The next prime is 13103000031307. The reversal of 13103000031300 is 313000030131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13103000031300.

It is not an unprimeable number, because it can be changed into a prime (13103000031307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570651820 + ... + 570674780.

It is an arithmetic number, because the mean of its divisors is an integer number (263796962268).

Almost surely, 213103000031300 is an apocalyptic number.

13103000031300 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 13103000031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993381283296).

13103000031300 is an abundant number, since it is smaller than the sum of its proper divisors (24883762535292).

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

13103000031300 is a wasteful number, since it uses less digits than its factorization.

13103000031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26678 (or 26671 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 13103000031300 its reverse (313000030131), we get a palindrome (13416000061431).

The spelling of 13103000031300 in words is "thirteen trillion, one hundred three billion, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 617 1234 1851 2468 3083 3085 3702 6166 6170 7404 9249 9255 12332 12340 15415 15425 18498 18510 22961 30830 30850 36996 37020 45922 46245 46275 61660 61700 68883 77075 91844 92490 92550 114805 137766 154150 184980 185100 229610 231225 275532 308300 344415 459220 462450 574025 688830 924900 1148050 1377660 1722075 1902211 2296100 3444150 3804422 5706633 6888300 7608844 9511055 11413266 14166937 19022110 22826532 28333874 28533165 38044220 42500811 47555275 56667748 57066330 70788763 70834685 85001622 95110550 114132660 141577526 141669370 142665825 170003244 190221100 212366289 212504055 283155052 283338740 285331650 353943815 354173425 424732578 425008110 570663300 707887630 708346850 849465156 850016220 1061831445 1062520275 1415775260 1416693700 1769719075 2123662890 2125040550 3539438150 4247325780 4250081100 5309157225 7078876300 10618314450 21236628900 43676666771 87353333542 131030000313 174706667084 218383333855 262060000626 436766667710 524120001252 655150001565 873533335420 1091916669275 1310300003130 2183833338550 2620600006260 3275750007825 4367666677100 6551500015650 13103000031300