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32122213310105 = 519231356856997
BaseRepresentation
bin1110100110111000010010…
…00111010001111010011001
311012201212001021110000121222
413103130021013101322121
513202242243101410410
6152152424023341425
76523516251032642
oct723341107217231
9135655037400558
1032122213310105
11a264a54a97666
1237296002b1875
1314c015b59c719
147d0a1b0c66c9
153aa88c207955
hex1d37091d1e99

32122213310105 has 24 divisors (see below), whose sum is σ = 40812180592392. Its totient is φ = 24267475604736.

The previous prime is 32122213310071. The next prime is 32122213310113. The reversal of 32122213310105 is 50101331222123.

It can be written as a sum of positive squares in 4 ways, for example, as 2223495517321 + 29898717792784 = 1491139^2 + 5467972^2 .

It is not a de Polignac number, because 32122213310105 - 214 = 32122213293721 is a prime.

It is a super-2 number, since 2×321222133101052 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

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, 27863534 + ... + 28993463.

It is an arithmetic number, because the mean of its divisors is an integer number (1700507524683).

Almost surely, 232122213310105 is an apocalyptic number.

It is an amenable number.

32122213310105 is a deficient number, since it is larger than the sum of its proper divisors (8689967282287).

32122213310105 is a wasteful number, since it uses less digits than its factorization.

32122213310105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56857353 (or 56857334 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 32122213310105 its reverse (50101331222123), we get a palindrome (82223544532228).

The spelling of 32122213310105 in words is "thirty-two trillion, one hundred twenty-two billion, two hundred thirteen million, three hundred ten thousand, one hundred five".

Divisors: 1 5 19 95 313 361 1565 1805 5947 29735 112993 564965 56856997 284284985 1080282943 5401414715 17796240061 20525375917 88981200305 102626879585 338128561159 1690642805795 6424442662021 32122213310105