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12201330020103 = 327377173723603
BaseRepresentation
bin1011000110001101011111…
…1100010000111100000111
31121012102202200000210212200
42301203113330100330013
53044401310441120403
641541114051045543
72366342221651110
oct261432774207407
947172680023780
1012201330020103
113984611787874
1214508488a08b3
136a6771427bb3
14302794597207
151625b8014ca3
hexb18d7f10f07

12201330020103 has 48 divisors (see below), whose sum is σ = 20977609176576. Its totient is φ = 6688205173440.

The previous prime is 12201330020069. The next prime is 12201330020107. The reversal of 12201330020103 is 30102003310221.

12201330020103 is a `hidden beast` number, since 12 + 201 + 330 + 0 + 20 + 103 = 666.

It is not a de Polignac number, because 12201330020103 - 233 = 12192740085511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201330020107) 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 47 ways as a sum of consecutive naturals, for example, 36696301 + ... + 37027302.

It is an arithmetic number, because the mean of its divisors is an integer number (437033524512).

Almost surely, 212201330020103 is an apocalyptic number.

12201330020103 is a deficient number, since it is larger than the sum of its proper divisors (8776279156473).

12201330020103 is a wasteful number, since it uses less digits than its factorization.

12201330020103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73723724 (or 73723721 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12201330020103 its reverse (30102003310221), we get a palindrome (42303333330324).

The spelling of 12201330020103 in words is "twelve trillion, two hundred one billion, three hundred thirty million, twenty thousand, one hundred three".

Divisors: 1 3 7 9 21 37 63 71 111 213 259 333 497 639 777 1491 2331 2627 4473 7881 18389 23643 55167 165501 73723603 221170809 516065221 663512427 1548195663 2727773311 4644586989 5234375813 8183319933 15703127439 19094413177 24549959799 36640630691 47109382317 57283239531 109921892073 171849718593 193671905081 329765676219 581015715243 1355703335567 1743047145729 4067110006701 12201330020103