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123045334310225 = 5253401231582053
BaseRepresentation
bin11011111110100010111001…
…011100010101110101010001
3121010200000111220112212212102
4123332202321130111311101
5112111433321040411400
61113410125104010145
734626506042546015
oct3376427134256521
9533600456485772
10123045334310225
113622a262484178
1211973015600955
1353871821bc5c2
1422555d6b7a545
15e35a58d229d5
hex6fe8b9715d51

123045334310225 has 24 divisors (see below), whose sum is σ = 155842680075192. Its totient is φ = 96338133632000.

The previous prime is 123045334310219. The next prime is 123045334310279. The reversal of 123045334310225 is 522013433540321.

It can be written as a sum of positive squares in 12 ways, for example, as 11085889884304 + 111959444425921 = 3329548^2 + 10581089^2 .

It is not a de Polignac number, because 123045334310225 - 216 = 123045334244689 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115259702 + ... + 116322351.

It is an arithmetic number, because the mean of its divisors is an integer number (6493445003133).

Almost surely, 2123045334310225 is an apocalyptic number.

It is an amenable number.

123045334310225 is a deficient number, since it is larger than the sum of its proper divisors (32797345764967).

123045334310225 is a wasteful number, since it uses less digits than its factorization.

123045334310225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231582517 (or 231582512 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 123045334310225 its reverse (522013433540321), we get a palindrome (645058767850546).

The spelling of 123045334310225 in words is "one hundred twenty-three trillion, forty-five billion, three hundred thirty-four million, three hundred ten thousand, two hundred twenty-five".

Divisors: 1 5 25 53 265 401 1325 2005 10025 21253 106265 531325 231582053 1157910265 5789551325 12273848809 61369244045 92864403253 306846220225 464322016265 2321610081325 4921813372409 24609066862045 123045334310225