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200011242431 = 7111353101163229
BaseRepresentation
bin1011101001000110011…
…0010101101110111111
3201010021010102212012202
42322101212111232333
511234110334224211
6231514531022115
720310315336530
oct2722146255677
9633233385182
10200011242431
117790814a870
123291b43a93b
1315b267573c0
1499757aa687
15530944553b
hex2e91995bbf

200011242431 has 128 divisors (see below), whose sum is σ = 279231805440. Its totient is φ = 138288384000.

The previous prime is 200011242421. The next prime is 200011242439. The reversal of 200011242431 is 134242110002.

It is not a de Polignac number, because 200011242431 - 218 = 200010980287 is a prime.

It is a super-2 number, since 2×2000112424312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200011242439) 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 127 ways as a sum of consecutive naturals, for example, 873411425 + ... + 873411653.

It is an arithmetic number, because the mean of its divisors is an integer number (2181498480).

Almost surely, 2200011242431 is an apocalyptic number.

200011242431 is a deficient number, since it is larger than the sum of its proper divisors (79220563009).

200011242431 is a wasteful number, since it uses less digits than its factorization.

200011242431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 200011242431 its reverse (134242110002), we get a palindrome (334253352433).

The spelling of 200011242431 in words is "two hundred billion, eleven million, two hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 13 53 77 91 101 143 163 229 371 583 689 707 1001 1111 1141 1313 1603 1793 2119 2519 2977 4081 4823 5353 7579 7777 8639 9191 12137 12551 14443 14833 16463 17633 20839 23129 23309 32747 37327 37471 53053 58883 60473 69589 84959 95029 101101 112307 115241 133507 157781 161903 163163 181093 214019 229229 254419 261289 300677 410597 412181 485251 487123 665203 765479 786149 872539 934549 1104467 1225837 1235377 1267651 1498133 1735591 1780933 1978331 2104739 2354209 2874179 3307447 3396757 3770027 5337761 5358353 6107773 8580859 8647639 9597929 11343007 12149137 13484207 13848317 15935881 16479463 21761641 23152129 25718303 26390189 37364327 41470297 49010351 67185503 79401049 94389449 111551167 124773077 152331487 175294691 180028121 199811431 282901333 290292079 343072457 539113861 873411539 1227062837 1398680017 1980309331 2197925741 2597548603 3773797027 15385480187 18182840221 28573034633 200011242431