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102230313320223 = 3511413312818181
BaseRepresentation
bin10111001111101001011001…
…100000101011111100011111
3111101222010022022022021200000
4113033221121200223330133
5101344420140202221343
61001231542501305343
730350616315441234
oct2717513140537437
9441863268267600
10102230313320223
112a6346a5804320
12b570b05105253
13450737ac7424a
141b35d8b66b78b
15bc43a20daed3
hex5cfa5982bf1f

102230313320223 has 96 divisors (see below), whose sum is σ = 171648115801344. Its totient is φ = 60263961120000.

The previous prime is 102230313320209. The next prime is 102230313320237. The reversal of 102230313320223 is 322023313032201.

102230313320223 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 0 + 313 + 320 + 2 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (102230313320209) and next prime (102230313320237).

It is not a de Polignac number, because 102230313320223 - 213 = 102230313312031 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230313320203) 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, 34866193 + ... + 37684373.

It is an arithmetic number, because the mean of its divisors is an integer number (1788001206264).

Almost surely, 2102230313320223 is an apocalyptic number.

102230313320223 is a deficient number, since it is larger than the sum of its proper divisors (69417802481121).

102230313320223 is a wasteful number, since it uses less digits than its factorization.

102230313320223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818579 (or 2818567 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 102230313320223 its reverse (322023313032201), we get a palindrome (424253626352424).

The spelling of 102230313320223 in words is "one hundred two trillion, two hundred thirty billion, three hundred thirteen million, three hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 41 81 99 123 243 297 331 369 451 891 993 1107 1353 2673 2979 3321 3641 4059 8937 9963 10923 12177 13571 26811 32769 36531 40713 80433 98307 109593 122139 149281 294921 366417 447843 884763 1099251 1343529 2818181 3297753 4030587 8454543 12091761 25363629 30999991 36275283 76090887 92999973 115545421 228272661 278999919 346636263 684817983 836999757 932817911 1039908789 1270999631 2510999271 2798453733 3119726367 3812998893 7532997813 8395361199 9359179101 10260997021 11438996679 25186083597 28077537303 30782991063 34316990037 38245534351 75558250791 92348973189 102950970111 114736603053 226674752373 277046919567 308852910333 344209809159 420700877861 831140758701 1032629427477 1262102633583 2493422276103 3097888282431 3786307900749 9293664847293 11358923702247 34076771106741 102230313320223