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13310023333032 = 2332833237768791
BaseRepresentation
bin1100000110101111101100…
…1101100111010010101000
31202010102111102002122001100
43001223323031213102220
53221032411433124112
644150312412321400
72542421533426236
oct301537315472250
952112442078040
1013310023333032
1142718271a84a8
1215ab6a3a73260
1375718c2839ca
143402cc441956
15181356cb22dc
hexc1afb3674a8

13310023333032 has 96 divisors (see below), whose sum is σ = 36483950018880. Its totient is φ = 4383021438720.

The previous prime is 13310023333021. The next prime is 13310023333043. The reversal of 13310023333032 is 23033332001331.

13310023333032 is a `hidden beast` number, since 1 + 331 + 0 + 0 + 23 + 3 + 3 + 303 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13310023333021) and next prime (13310023333043).

It is a super-2 number, since 2×133100233330322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310023332987 and 13310023333005.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 193450557 + ... + 193519347.

It is an arithmetic number, because the mean of its divisors is an integer number (380041146030).

Almost surely, 213310023333032 is an apocalyptic number.

13310023333032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13310023333032 is an abundant number, since it is smaller than the sum of its proper divisors (23173926685848).

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

13310023333032 is a wasteful number, since it uses less digits than its factorization.

13310023333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101263 (or 101256 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 13310023333032 its reverse (23033332001331), we get a palindrome (36343355334363).

The spelling of 13310023333032 in words is "thirteen trillion, three hundred ten billion, twenty-three million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 32377 64754 68791 97131 129508 137582 194262 206373 259016 275164 291393 388524 412746 550328 582786 619119 777048 825492 1165572 1238238 1650984 2331144 2476476 2687291 4952952 5374582 5709653 8061873 10749164 11419306 16123746 17128959 21498328 22838612 24185619 32247492 34257918 45677224 48371238 51386877 64494984 68515836 96742476 102773754 137031672 193484952 205547508 411095016 2227246207 4454492414 6681738621 8908984828 13363477242 17817969656 20045215863 26726954484 40090431726 53453908968 80180863452 160361726904 184861435181 369722870362 554584305543 739445740724 1109168611086 1478891481448 1663752916629 2218337222172 3327505833258 4436674444344 6655011666516 13310023333032