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102101123223 = 321129103345271
BaseRepresentation
bin101111100010110110…
…0111000000010010111
3100202112121021110110100
41133011230320002113
53133100341420343
6114523221225143
710243106141121
oct1370554700227
9322477243410
10102101123223
113a334471080
12179555621b3
139821c01918
144d28120211
1529c89249d3
hex17c5b38097

102101123223 has 48 divisors (see below), whose sum is σ = 168050787840. Its totient is φ = 59165467200.

The previous prime is 102101123171. The next prime is 102101123231. The reversal of 102101123223 is 322321101201.

It is not a de Polignac number, because 102101123223 - 210 = 102101122199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101123196 and 102101123205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101133223) 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 47 ways as a sum of consecutive naturals, for example, 123078 + ... + 468348.

It is an arithmetic number, because the mean of its divisors is an integer number (3501058080).

Almost surely, 2102101123223 is an apocalyptic number.

102101123223 is a deficient number, since it is larger than the sum of its proper divisors (65949664617).

102101123223 is a wasteful number, since it uses less digits than its factorization.

102101123223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345420 (or 345417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102101123223 its reverse (322321101201), we get a palindrome (424422224424).

The spelling of 102101123223 in words is "one hundred two billion, one hundred one million, one hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 11 29 33 87 99 103 261 309 319 927 957 1133 2871 2987 3399 8961 10197 26883 32857 98571 295713 345271 1035813 3107439 3797981 10012859 11393943 30038577 34181829 35562913 90115731 106688739 110141449 320066217 330424347 391192043 991273041 1031324477 1173576129 3093973431 3520728387 9281920293 11344569247 34033707741 102101123223