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1223203313313 = 372961421751
BaseRepresentation
bin10001110011001100100…
…110010101011010100001
311022221022010211120000000
4101303030212111122201
5130020110022011223
62333533140050213
7154242055416552
oct21631446253241
94287263746000
101223203313313
11431837421893
12179094393969
138b4698212b7
14432bc01c329
1521c41cab543
hex11ccc9956a1

1223203313313 has 128 divisors (see below), whose sum is σ = 1936052275200. Its totient is φ = 771573600000.

The previous prime is 1223203313303. The next prime is 1223203313341. The reversal of 1223203313313 is 3133133023221.

1223203313313 is a `hidden beast` number, since 1 + 2 + 2 + 32 + 0 + 3 + 313 + 313 = 666.

It is not a de Polignac number, because 1223203313313 - 220 = 1223202264737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1223203313303) 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 127 ways as a sum of consecutive naturals, for example, 1628765688 + ... + 1628766438.

It is an arithmetic number, because the mean of its divisors is an integer number (15125408400).

Almost surely, 21223203313313 is an apocalyptic number.

It is an amenable number.

1223203313313 is a deficient number, since it is larger than the sum of its proper divisors (712848961887).

1223203313313 is an frugal number, since it uses more digits than its factorization.

1223203313313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1223203313313 its reverse (3133133023221), we get a palindrome (4356336336534).

The spelling of 1223203313313 in words is "one trillion, two hundred twenty-three billion, two hundred three million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 27 29 61 81 87 183 243 261 421 549 729 751 783 1263 1647 1769 2187 2253 2349 3789 4941 5307 6759 7047 11367 12209 14823 15921 20277 21141 21779 25681 34101 36627 44469 45811 47763 60831 63423 65337 77043 102303 109881 133407 137433 143289 182493 196011 231129 306909 316171 329643 412299 429867 547479 588033 693387 744749 920727 948513 988929 1236897 1289601 1328519 1642437 1764099 2080161 2234247 2845539 2966787 3710691 3868803 3985557 5292297 6240483 6702741 8536617 8900361 9168959 11132073 11956671 15876891 18721449 19286431 20108223 25609851 26701083 27506877 33396219 35870013 47630673 56164347 57859293 60324669 76829553 82520631 100188657 107610039 173577879 180974007 230488659 247561893 322830117 520733637 542922021 559306499 691465977 742685679 968490351 1562200911 1628766063 1677919497 2228057037 2905471053 4686602733 5033758491 6684171111 14059808199 15101275473 20052513333 42179424597 45303826419 135911479257 407734437771 1223203313313