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10033003320312 = 233785978238887
BaseRepresentation
bin1001000111111111110110…
…0110010101001111111000
31022112010221020210122011010
42101333331212111033320
52303340042322222222
633201033104433520
72053601114055120
oct221777546251770
938463836718133
1010033003320312
113218a778a6055
1211605686188a0
1357a1537c821b
142698583a5c80
15125eac56980c
hex91ffd9953f8

10033003320312 has 128 divisors (see below), whose sum is σ = 28705993113600. Its totient is φ = 2862547129728.

The previous prime is 10033003320299. The next prime is 10033003320343. The reversal of 10033003320312 is 21302330033001.

It is a super-2 number, since 2×100330033203122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128948333 + ... + 1128957219.

It is an arithmetic number, because the mean of its divisors is an integer number (224265571200).

Almost surely, 210033003320312 is an apocalyptic number.

10033003320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10033003320312 is an abundant number, since it is smaller than the sum of its proper divisors (18672989793288).

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

10033003320312 is a wasteful number, since it uses less digits than its factorization.

10033003320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17585 (or 17581 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10033003320312 its reverse (21302330033001), we get a palindrome (31335333353313).

The spelling of 10033003320312 in words is "ten trillion, thirty-three billion, three million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 859 1718 2577 3436 5154 6013 6872 7823 8887 10308 12026 15646 17774 18039 20616 23469 24052 26661 31292 35548 36078 46938 48104 53322 54761 62209 62584 71096 72156 93876 106644 109522 124418 144312 164283 186627 187752 213288 219044 248836 328566 373254 438088 497672 657132 746508 1314264 1493016 6719957 7633933 13439914 15267866 20159871 22901799 26879828 30535732 40319742 45803598 47039699 53437531 53759656 61071464 69523001 80639484 91607196 94079398 106875062 139046002 141119097 160312593 161278968 183214392 188158796 208569003 213750124 278092004 282238194 320625186 376317592 417138006 427500248 486661007 556184008 564476388 641250372 834276012 973322014 1128952776 1282500744 1459983021 1668552024 1946644028 2919966042 3893288056 5839932084 11679864168 59720257859 119440515718 179160773577 238881031436 358321547154 418041805013 477762062872 716643094308 836083610026 1254125415039 1433286188616 1672167220052 2508250830078 3344334440104 5016501660156 10033003320312