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23331313420332 = 223171916373677111
BaseRepresentation
bin1010100111000001111101…
…01001100000100000101100
310001121110012100101101012120
411103200332221200200230
511024230012213422312
6121342131334032540
74625426460624111
oct523407651404054
9101543170341176
1023331313420332
1174858331a8195
1227499217a8750
131003197160c08
145a9354d16908
152a6d7ad5428c
hex15383ea6082c

23331313420332 has 96 divisors (see below), whose sum is σ = 60712943316480. Its totient is φ = 6930146257920.

The previous prime is 23331313420297. The next prime is 23331313420343. The reversal of 23331313420332 is 23302431313332.

It is a junction number, because it is equal to n+sod(n) for n = 23331313420293 and 23331313420302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4506457 + ... + 8183567.

It is an arithmetic number, because the mean of its divisors is an integer number (632426492880).

Almost surely, 223331313420332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23331313420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30356471658240).

23331313420332 is an abundant number, since it is smaller than the sum of its proper divisors (37381629896148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23331313420332 is a wasteful number, since it uses less digits than its factorization.

23331313420332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678791 (or 3678789 counting only the distinct ones).

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

Adding to 23331313420332 its reverse (23302431313332), we get a palindrome (46633744733664).

The spelling of 23331313420332 in words is "twenty-three trillion, three hundred thirty-one billion, three hundred thirteen million, four hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1637 1938 3274 3876 4911 6548 9822 19644 27829 31103 55658 62206 83487 93309 111316 124412 166974 186618 333948 373236 528751 1057502 1586253 2115004 3172506 3677111 6345012 7354222 11031333 14708444 22062666 44125332 62510887 69865109 125021774 139730218 187532661 209595327 250043548 279460436 375065322 419190654 750130644 838381308 1187706853 2375413706 3563120559 4750827412 6019430707 7126241118 12038861414 14252482236 18058292121 24077722828 36116584242 72233168484 102330322019 114369183433 204660644038 228738366866 306990966057 343107550299 409321288076 457476733732 613981932114 686215100598 1227963864228 1372430201196 1944276118361 3888552236722 5832828355083 7777104473444 11665656710166 23331313420332