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13322221210233 = 3413375992953
BaseRepresentation
bin1100000111011101001001…
…0000110100101001111001
31202011120222111112222220000
43001313102100310221321
53221232402112211413
644200051031223213
72543333026606365
oct301672220645171
952146874488800
1013322221210233
114276a16622151
1215b1b28b17b09
1375838440b520
14340b2844c2a5
1518181cabd073
hexc1dd2434a79

13322221210233 has 120 divisors (see below), whose sum is σ = 22071134558088. Its totient is φ = 7955041715712.

The previous prime is 13322221210187. The next prime is 13322221210271. The reversal of 13322221210233 is 33201212222331.

13322221210233 is a `hidden beast` number, since 1 + 332 + 2 + 221 + 2 + 102 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1860285949929 + 11461935260304 = 1363923^2 + 3385548^2 .

It is not a de Polignac number, because 13322221210233 - 26 = 13322221210169 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13322221210197 and 13322221210206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322221210273) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13979245285 + ... + 13979246237.

Almost surely, 213322221210233 is an apocalyptic number.

13322221210233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13322221210233 is a deficient number, since it is larger than the sum of its proper divisors (8748913347855).

13322221210233 is an frugal number, since it uses more digits than its factorization.

13322221210233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13322221210233 its reverse (33201212222331), we get a palindrome (46523433432564).

The spelling of 13322221210233 in words is "thirteen trillion, three hundred twenty-two billion, two hundred twenty-one million, two hundred ten thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 37 39 81 111 117 333 351 481 599 953 999 1053 1443 1797 2859 2997 4329 5391 7787 8577 12389 12987 16173 22163 23361 25731 35261 37167 38961 48519 66489 70083 77193 105783 111501 199467 210249 288119 317349 334503 358801 458393 570847 598401 630747 864357 952047 1003509 1076403 1375179 1712541 1795203 2593071 2856141 3229209 4125537 4664413 5137623 7421011 7779213 9687627 12376611 13275637 13993239 15412869 21121339 22263033 23337639 29062881 37129833 39826911 41979717 46238607 63364017 66789099 119480733 125939151 172583281 190092051 200367297 274577407 341937353 358442199 377817453 517749843 570276153 601101891 823732221 1025812059 1075326597 1553249529 1710828459 2471196663 3077436177 4445185589 4659748587 7413589989 9232308531 12651682061 13335556767 13979245761 22240769967 27696925593 37955046183 40006670301 113865138549 120020010903 164471866793 341595415647 360060032709 493415600379 1024786246941 1480246801137 4440740403411 13322221210233