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132233201322123 = 31122336745794433
BaseRepresentation
bin11110000100001111110000…
…111111100000100010001011
3122100012101000011021201222110
4132010033300333200202023
5114313002044014301443
61145123032152353403
736565350666560166
oct3604176077404213
9570171004251873
10132233201322123
1139151870919a00
12129b781b6a5863
1358a26ca813055
14249219a3c8add
151044a506d4233
hex7843f0fe088b

132233201322123 has 96 divisors (see below), whose sum is σ = 203219115337728. Its totient is φ = 76279963668480.

The previous prime is 132233201322119. The next prime is 132233201322133. The reversal of 132233201322123 is 321223102332231.

It is not a de Polignac number, because 132233201322123 - 22 = 132233201322119 is a prime.

It is a super-2 number, since 2×1322332013221232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132233201322133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1400238715 + ... + 1400333147.

It is an arithmetic number, because the mean of its divisors is an integer number (2116865784768).

Almost surely, 2132233201322123 is an apocalyptic number.

132233201322123 is a deficient number, since it is larger than the sum of its proper divisors (70985914015605).

132233201322123 is a wasteful number, since it uses less digits than its factorization.

132233201322123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95305 (or 95294 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132233201322123 its reverse (321223102332231), we get a palindrome (453456303654354).

The spelling of 132233201322123 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, two hundred one million, three hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 11 23 33 69 121 253 363 367 457 759 1101 1371 2783 4037 5027 8349 8441 10511 12111 15081 25323 31533 44407 55297 92851 94433 115621 133221 165891 167719 278553 283299 346863 503157 1021361 1038763 1271831 1844909 2171959 3064083 3116289 3815493 3857537 5534727 6515877 11426393 11572611 20293999 23891549 34279179 34656911 42432907 43155881 60881997 71674647 103970733 127298721 129467643 262807039 381226021 466761977 474714691 788421117 797108953 992585263 1143678063 1400285931 1424144073 2391326859 2977755789 4193486231 5221861601 8768198483 10918437893 12580458693 15665584803 15838208327 26304595449 32755313679 47514624981 96450183313 120102816823 174220291597 289350549939 360308450469 364278791521 522660874791 1092836374563 1916423207567 4007066706731 5749269622701 12021200120193 44077733774041 132233201322123