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332123001312 = 253171021199321
BaseRepresentation
bin1001101010101000001…
…00101101000111100000
31011202021020000120102110
410311110010231013200
520420141442020222
6412324124315320
732665213634364
oct4652404550740
91152236016373
10332123001312
11118941859673
125444b3a2b40
132541bca60ab
14121095032a4
15898c89530c
hex4d5412d1e0

332123001312 has 96 divisors (see below), whose sum is σ = 924015333024. Its totient is φ = 104092876800.

The previous prime is 332123001277. The next prime is 332123001313. The reversal of 332123001312 is 213100321233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3321230013122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332123001313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566612 + ... + 1765932.

It is an arithmetic number, because the mean of its divisors is an integer number (9625159719).

Almost surely, 2332123001312 is an apocalyptic number.

332123001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332123001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462007666512).

332123001312 is an abundant number, since it is smaller than the sum of its proper divisors (591892331712).

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

332123001312 is a wasteful number, since it uses less digits than its factorization.

332123001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200372 (or 200364 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 332123001312 its reverse (213100321233), we get a palindrome (545223322545).

The spelling of 332123001312 in words is "three hundred thirty-two billion, one hundred twenty-three million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1021 1632 2042 3063 4084 6126 8168 12252 16336 17357 24504 32672 34714 49008 52071 69428 98016 104142 138856 199321 208284 277712 398642 416568 555424 597963 797284 833136 1195926 1594568 1666272 2391852 3189136 3388457 4783704 6378272 6776914 9567408 10165371 13553828 19134816 20330742 27107656 40661484 54215312 81322968 108430624 162645936 203506741 325291872 407013482 610520223 814026964 1221040446 1628053928 2442080892 3256107856 3459614597 4884161784 6512215712 6919229194 9768323568 10378843791 13838458388 19536647136 20757687582 27676916776 41515375164 55353833552 83030750328 110707667104 166061500656 332123001312