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2230322012001 = 339710319741969
BaseRepresentation
bin100000011101001001100…
…011010001111101100001
321220012211222100100021000
4200131021203101331201
5243020144413341001
64424332405022213
7320064313206306
oct40351143217541
97805758310230
102230322012001
1178a9686a4436
123003023b4969
1313241a882585
1479d3ba7d0ad
153d038486a86
hex207498d1f61

2230322012001 has 64 divisors (see below), whose sum is σ = 3387845260800. Its totient is φ = 1449833914368.

The previous prime is 2230322011997. The next prime is 2230322012021. The reversal of 2230322012001 is 1002102230322.

2230322012001 is a `hidden beast` number, since 2 + 230 + 32 + 201 + 200 + 1 = 666.

It is not a de Polignac number, because 2230322012001 - 22 = 2230322011997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2230322012021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 53121145 + ... + 53163113.

It is an arithmetic number, because the mean of its divisors is an integer number (52935082200).

Almost surely, 22230322012001 is an apocalyptic number.

It is an amenable number.

2230322012001 is a deficient number, since it is larger than the sum of its proper divisors (1157523248799).

2230322012001 is a wasteful number, since it uses less digits than its factorization.

2230322012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42375 (or 42369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2230322012001 its reverse (1002102230322), we get a palindrome (3232424242323).

The spelling of 2230322012001 in words is "two trillion, two hundred thirty billion, three hundred twenty-two million, twelve thousand, one".

Divisors: 1 3 9 27 97 103 197 291 309 591 873 927 1773 2619 2781 5319 9991 19109 20291 29973 41969 57327 60873 89919 125907 171981 182619 269757 377721 515943 547857 1133163 1968227 4070993 4322807 5904681 8267893 12212979 12968421 17714043 24803679 36638937 38905263 53142129 74411037 109916811 116715789 223233111 419312279 801985621 851592979 1257936837 2405956863 2554778937 3773810511 7217870589 7664336811 11321431533 21653611767 22993010433 82604518963 247813556889 743440670667 2230322012001