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134102342333223 = 331161139101952259
BaseRepresentation
bin11110011111011100100010…
…011110100111001100100111
3122120211001120210212012002000
4132133130202132213030213
5120034113044114130343
61153113433211220343
740150401025201125
oct3637344236471447
9576731523765060
10134102342333223
113980253622a580
1213059b231476b3
1359a9a48238034
14251883368a915
15107849a222ed3
hex79f7227a7327

134102342333223 has 128 divisors (see below), whose sum is σ = 222090785280000. Its totient is φ = 79287259017600.

The previous prime is 134102342333213. The next prime is 134102342333231. The reversal of 134102342333223 is 322333243201431.

134102342333223 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 0 + 2 + 3 + 423 + 3 + 3 + 223 = 666.

It is not a de Polignac number, because 134102342333223 - 28 = 134102342332967 is a prime.

It is a super-4 number, since 4×1341023423332234 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134102342333213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2566083868 + ... + 2566136126.

It is an arithmetic number, because the mean of its divisors is an integer number (1735084260000).

Almost surely, 2134102342333223 is an apocalyptic number.

134102342333223 is a deficient number, since it is larger than the sum of its proper divisors (87988442946777).

134102342333223 is a wasteful number, since it uses less digits than its factorization.

134102342333223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53498 (or 53492 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 134102342333223 its reverse (322333243201431), we get a palindrome (456435585534654).

The spelling of 134102342333223 in words is "one hundred thirty-four trillion, one hundred two billion, three hundred forty-two million, three hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 3 9 11 27 33 61 99 139 183 297 417 549 671 1019 1251 1529 1647 2013 3057 3753 4587 6039 8479 9171 11209 13761 18117 25437 27513 33627 41283 52259 62159 76311 93269 100881 141641 156777 186477 228933 279807 302643 424923 470331 559431 574849 683749 839421 1274769 1410993 1558051 1678293 1724547 2051247 2518263 3187799 3824307 4674153 5173641 6153741 7264001 8640101 9563397 14022459 15520923 18461223 21792003 25920303 28690191 35065789 42067377 53251921 65376009 77760909 79904011 86070573 95041111 105197367 159755763 196128027 233282727 239712033 285123333 315592101 443104061 479267289 585771131 719136099 855369999 946776303 1329312183 1437801867 1757313393 2157408297 2566109997 3248367181 3987936549 4874144671 5271940179 7402017019 9745101543 11963809647 14622434013 15815820537 22206051057 29235304629 35732038991 43867302039 66618153171 81422187209 87705913887 107196116973 131601906117 199854459513 244266561627 321588350919 451523038159 732799684881 964765052757 1354569114477 2198399054643 4063707343431 4966753419749 12191122030293 14900260259247 44700780777741 134102342333223