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13003030013120 = 265729200169797
BaseRepresentation
bin1011110100111000000011…
…1111000010010011000000
31201001002002112000010212122
42331032000333002103000
53201020201140404440
643353302020143412
72511303130316030
oct275160077022300
951032075003778
1013003030013120
1141636104aa474
1215600a8537b68
1373424664a8a4
1432d4c86018c0
1517838a6a87b5
hexbd380fc24c0

13003030013120 has 112 divisors (see below), whose sum is σ = 36607052658240. Its totient is φ = 4304451293184.

The previous prime is 13003030013111. The next prime is 13003030013137. The reversal of 13003030013120 is 2131003030031.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100019939 + ... + 100149858.

Almost surely, 213003030013120 is an apocalyptic number.

13003030013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003030013120 is an abundant number, since it is smaller than the sum of its proper divisors (23604022645120).

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

13003030013120 is a wasteful number, since it uses less digits than its factorization.

13003030013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200169850 (or 200169840 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13003030013120 its reverse (2131003030031), we get a palindrome (15134033043151).

The spelling of 13003030013120 in words is "thirteen trillion, three billion, thirty million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 812 928 1015 1120 1160 1624 1856 2030 2240 2320 3248 4060 4640 6496 8120 9280 12992 16240 32480 64960 200169797 400339594 800679188 1000848985 1401188579 1601358376 2001697970 2802377158 3202716752 4003395940 5604754316 5804924113 6405433504 7005942895 8006791880 11209508632 11609848226 12810867008 14011885790 16013583760 22419017264 23219696452 28023771580 29024620565 32027167520 40634468791 44838034528 46439392904 56047543160 58049241130 64054335040 81268937582 89676069056 92878785808 112095086320 116098482260 162537875164 185757571616 203172343955 224190172640 232196964520 325075750328 371515143232 406344687910 448380345280 464393929040 650151500656 812689375820 928787858080 1300303001312 1625378751640 1857575716160 2600606002624 3250757503280 6501515006560 13003030013120