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102000121223 = 721113671671301
BaseRepresentation
bin101111011111110101…
…1100101010110000111
3100202021120020000202112
41132333223211112013
53132344012334343
6114505212331235
710240441503500
oct1367753452607
9322246200675
10102000121223
113a292455850
1217927773b1b
139806cca020
144d1894bba7
1529beb23218
hex17bfae5587

102000121223 has 96 divisors (see below), whose sum is σ = 142433883648. Its totient is φ = 71783712000.

The previous prime is 102000121187. The next prime is 102000121229. The reversal of 102000121223 is 322121000201.

It is a happy number.

It is not a de Polignac number, because 102000121223 - 28 = 102000120967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102000121198 and 102000121207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000121229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78400673 + ... + 78401973.

It is an arithmetic number, because the mean of its divisors is an integer number (1483686288).

Almost surely, 2102000121223 is an apocalyptic number.

102000121223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102000121223 is a deficient number, since it is larger than the sum of its proper divisors (40433762425).

102000121223 is a wasteful number, since it uses less digits than its factorization.

102000121223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102000121223 its reverse (322121000201), we get a palindrome (424121121424).

The spelling of 102000121223 in words is "one hundred two billion, one hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 7 11 13 49 67 77 91 143 167 469 539 637 737 871 1001 1169 1301 1837 2171 3283 5159 6097 7007 8183 9107 9581 11189 12859 14311 15197 16913 23881 36113 42679 63749 67067 78323 87167 90013 100177 106379 118391 123079 145457 167167 186043 217267 469469 548261 610169 701239 828737 861553 958837 1018199 1133171 1170169 1302301 1520869 1600027 2389937 2824471 4271183 6030871 6711859 7127393 7932197 9116107 10646083 11200189 12464881 14556889 16729559 19771297 31069181 46983013 55525379 78401323 87254167 101898223 117106913 138399079 160125779 189239557 217484267 610779169 713287561 1120880453 1324676899 1522389869 2081635127 7846163171 9272738293 14571445889 102000121223