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323114110221132 = 223276637311711519
BaseRepresentation
bin100100101110111101101110…
…1110000101111101101001100
31120101001101222220012012202100
41021131323131300233231030
5314322400144204034012
63103112323435555100
7125026136602605366
oct11135733560575514
91511041886165670
10323114110221132
1193a54a1971a30a
12302a58198bba90
1310b3a6b7118c49
1459b0b409b5d36
152754e15cc98dc
hex125deddc2fb4c

323114110221132 has 36 divisors (see below), whose sum is σ = 816761802991680. Its totient is φ = 107704553672352.

The previous prime is 323114110221121. The next prime is 323114110221137. The reversal of 323114110221132 is 231122011411323.

323114110221132 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 1 + 411 + 0 + 2 + 211 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3231141102211322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323114110221096 and 323114110221105.

It is not an unprimeable number, because it can be changed into a prime (323114110221137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21733669 + ... + 33445187.

It is an arithmetic number, because the mean of its divisors is an integer number (22687827860880).

Almost surely, 2323114110221132 is an apocalyptic number.

It is an amenable number.

323114110221132 is an abundant number, since it is smaller than the sum of its proper divisors (493647692770548).

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

323114110221132 is a wasteful number, since it uses less digits than its factorization.

323114110221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477902 (or 12477897 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 323114110221132 its reverse (231122011411323), we get a palindrome (554236121632455).

The spelling of 323114110221132 in words is "three hundred twenty-three trillion, one hundred fourteen billion, one hundred ten million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 766373 1532746 2299119 3065492 4598238 6897357 9196476 11711519 13794714 23423038 27589428 35134557 46846076 70269114 105403671 140538228 210807342 421614684 8975391950587 17950783901174 26926175851761 35901567802348 53852351703522 80778527555283 107704703407044 161557055110566 323114110221132