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13033030310001 = 32138926315673037
BaseRepresentation
bin1011110110100111110100…
…1001000101100001110001
31201010221112021212010111100
42331221331021011201301
53202013121224410001
643415142542435013
72513414432532312
oct275517511054161
951127467763440
1013033030310001
114175305926559
121565a7b592a69
13737017ab7b50
14330b32ac6609
15179044340586
hexbda7d245871

13033030310001 has 96 divisors (see below), whose sum is σ = 20599261562880. Its totient is φ = 7892416300032.

The previous prime is 13033030309987. The next prime is 13033030310029. The reversal of 13033030310001 is 10001303033031.

13033030310001 is a `hidden beast` number, since 1 + 30 + 330 + 303 + 1 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 13033030310001 - 29 = 13033030309489 is a prime.

It is a super-2 number, since 2×130330303100012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13033030310401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4291414455 + ... + 4291417491.

It is an arithmetic number, because the mean of its divisors is an integer number (214575641280).

Almost surely, 213033030310001 is an apocalyptic number.

It is an amenable number.

13033030310001 is a deficient number, since it is larger than the sum of its proper divisors (7566231252879).

13033030310001 is a wasteful number, since it uses less digits than its factorization.

13033030310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13033030310001 its reverse (10001303033031), we get a palindrome (23034333343032).

The spelling of 13033030310001 in words is "thirteen trillion, thirty-three billion, thirty million, three hundred ten thousand, one".

Divisors: 1 3 9 13 39 89 117 263 267 789 801 1157 1567 2367 3037 3419 3471 4701 9111 10257 10413 14103 20371 23407 27333 30771 39481 61113 70221 118443 139463 183339 210663 270293 304291 355329 412121 418389 798731 810879 912873 1236363 1255167 1813019 2396193 2432637 2738619 3513809 3709089 4758979 5357573 5439057 7188579 10383503 10541427 14276937 16072719 16317171 31150509 31624281 36678769 42830811 48218157 61866727 71087059 93451527 110036307 185600181 213261177 330108921 423549131 476823997 556800543 639783531 924131767 1251611477 1270647393 1430471991 2772395301 3754834431 3811942179 4291415973 5506138703 8317185903 11264503293 16270949201 16518416109 48812847603 49555248327 111393421453 146438542809 334180264359 1002540793077 1448114478889 4344343436667 13033030310001