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132222313330233 = 3761967462123099
BaseRepresentation
bin11110000100000101101000…
…000001000111011000111001
3122100011022220100121102222120
4132010011220001013120321
5114312312244203031413
61145114031525111453
736564514120301460
oct3604055001073071
9570138810542876
10132222313330233
11391481939344a5
12129b56a1258589
1358a1683b74ab9
1424918463539d7
1510446148bc723
hex784168047639

132222313330233 has 64 divisors (see below), whose sum is σ = 205049609318400. Its totient is φ = 74220858835200.

The previous prime is 132222313330213. The next prime is 132222313330243. The reversal of 132222313330233 is 332033313222231.

It is not a de Polignac number, because 132222313330233 - 212 = 132222313326137 is a prime.

It is a super-2 number, since 2×1322223133302332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132222313330194 and 132222313330203.

It is not an unprimeable number, because it can be changed into a prime (132222313330213) 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 63 ways as a sum of consecutive naturals, for example, 5724145918 + ... + 5724169016.

It is an arithmetic number, because the mean of its divisors is an integer number (3203900145600).

Almost surely, 2132222313330233 is an apocalyptic number.

It is an amenable number.

132222313330233 is a deficient number, since it is larger than the sum of its proper divisors (72827295988167).

132222313330233 is a wasteful number, since it uses less digits than its factorization.

132222313330233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28758.

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 132222313330233 its reverse (332033313222231), we get a palindrome (464255626552464).

The spelling of 132222313330233 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, three hundred thirteen million, three hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 7 21 61 183 427 967 1281 2901 4621 6769 13863 20307 23099 32347 58987 69297 97041 161693 176961 281881 412909 485079 845643 1238727 1409039 1973167 4227117 4468507 5919501 9863273 13405521 22336733 29589819 31279549 67010199 93838647 106740479 156357131 272578927 320221437 469071393 747183353 817736781 1362540713 1908052489 2241550059 4087622139 5724157467 6511169219 9537784991 19533507657 28613354973 45578184533 103218043193 136734553599 309654129579 722526302351 2167578907053 6296300634773 18888901904319 44074104443411 132222313330233