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3312117601 = 1321922332
BaseRepresentation
bin1100010101101010…
…1110011101100001
322112211100000012021
43011122232131201
523240400230401
61304354101441
7145035351352
oct30532563541
98484300167
103312117601
11144a670a81
1278527a881
1340a265a00
14235c51d29
15145b982a1
hexc56ae761

3312117601 has 27 divisors (see below), whose sum is σ = 3801507129. Its totient is φ = 2883995712.

The previous prime is 3312117547. The next prime is 3312117629. The reversal of 3312117601 is 1067112133.

Multipling 3312117601 by its sum of digits (25), we get a square (82802940025 = 2877552).

Adding to 3312117601 its reverse (1067112133), we get a palindrome (4379229734).

The square root of 3312117601 is 57551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1402427601 + 1909690000 = 37449^2 + 43700^2 .

It is not a de Polignac number, because 3312117601 - 211 = 3312115553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3312117631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14214981 + ... + 14215213.

Almost surely, 23312117601 is an apocalyptic number.

3312117601 is the 57551-st square number.

3312117601 is the 28776-th centered octagonal number.

It is an amenable number.

3312117601 is a deficient number, since it is larger than the sum of its proper divisors (489389528).

3312117601 is an equidigital number, since it uses as much as digits as its factorization.

3312117601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The cubic root of 3312117601 is about 1490.6256251470.

The spelling of 3312117601 in words is "three billion, three hundred twelve million, one hundred seventeen thousand, six hundred one".

Divisors: 1 13 19 169 233 247 361 3029 3211 4427 4693 39377 54289 57551 61009 84113 705757 748163 1031491 1093469 9174841 13409383 14215097 19598329 174321979 254778277 3312117601