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2301111242001 = 3211213795120443
BaseRepresentation
bin100001011111000100111…
…010110000110100010001
322010222120101202211011100
4201133010322300310101
5300200133434221001
64521041011535013
7325151452555125
oct41370472606421
98128511684140
102301111242001
11807994340700
12311b795ba469
13138cbc67b910
147d535419585
153ecccee3586
hex217c4eb0d11

2301111242001 has 72 divisors (see below), whose sum is σ = 3935186073728. Its totient is φ = 1287110088000.

The previous prime is 2301111241909. The next prime is 2301111242029. The reversal of 2301111242001 is 1002421111032.

2301111242001 is a `hidden beast` number, since 230 + 1 + 1 + 1 + 12 + 420 + 0 + 1 = 666.

It is not a de Polignac number, because 2301111242001 - 219 = 2301110717713 is a prime.

It is a super-2 number, since 2×23011112420012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2301111242201) 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 71 ways as a sum of consecutive naturals, for example, 112552086 + ... + 112572528.

Almost surely, 22301111242001 is an apocalyptic number.

It is an amenable number.

2301111242001 is a deficient number, since it is larger than the sum of its proper divisors (1634074831727).

2301111242001 is a wasteful number, since it uses less digits than its factorization.

2301111242001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28435 (or 28421 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2301111242001 its reverse (1002421111032), we get a palindrome (3303532353033).

The spelling of 2301111242001 in words is "two trillion, three hundred one billion, one hundred eleven million, two hundred forty-two thousand, one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 1089 1287 1573 4719 7951 14157 20443 23853 61329 71559 87461 103363 183987 224873 262383 265759 310089 674619 787149 797277 930267 962071 1136993 2023857 2391831 2473603 2886213 2923349 3410979 7420809 8658639 8770047 10232937 12506923 22262427 26310141 32156839 37520769 96470517 112562307 162542293 289411551 487626879 1462880637 1787965223 2113049809 5363895669 6339149427 16091687007 19017448281 19667617453 23243547899 59002852359 69730643697 177008557077 209191931091 255679026889 767037080667 2301111242001