Search a number
-
+
332310321301113 = 34171811333310549
BaseRepresentation
bin100101110001111000000011…
…0101010000000011001111001
31121120121120000122202122110000
41023203300012222000121321
5322024033014223113423
63134433130514543213
7126665425356206631
oct11343600652003171
91546546018678400
10332310321301113
119698001a075981
123132bb72297b09
131135696233c99c
145c0bc964936c1
152864249e9c843
hex12e3c06a80679

332310321301113 has 40 divisors (see below), whose sum is σ = 528518968777800. Its totient is φ = 207356456424960.

The previous prime is 332310321301099. The next prime is 332310321301141. The reversal of 332310321301113 is 311103123013233.

332310321301113 is a `hidden beast` number, since 3 + 3 + 2 + 31 + 0 + 321 + 301 + 1 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3149020604304 + 329161300696809 = 1774548^2 + 18142803^2 .

It is not a de Polignac number, because 332310321301113 - 213 = 332310321292921 is a prime.

It is a super-2 number, since 2×3323103213011132 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332310321303113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 666406038 + ... + 666904511.

It is an arithmetic number, because the mean of its divisors is an integer number (13212974219445).

Almost surely, 2332310321301113 is an apocalyptic number.

It is an amenable number.

332310321301113 is a deficient number, since it is larger than the sum of its proper divisors (196208647476687).

332310321301113 is a wasteful number, since it uses less digits than its factorization.

332310321301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333310759 (or 1333310750 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 332310321301113 its reverse (311103123013233), we get a palindrome (643413444314346).

The spelling of 332310321301113 in words is "three hundred thirty-two trillion, three hundred ten billion, three hundred twenty-one million, three hundred one thousand, one hundred thirteen".

Divisors: 1 3 9 17 27 51 81 153 181 459 543 1377 1629 3077 4887 9231 14661 27693 83079 249237 1333310549 3999931647 11999794941 22666279333 35999384823 67998837999 107998154469 203996513997 241329209369 611989541991 723987628107 1835968625973 2171962884321 4102596559273 6515888652963 12307789677819 19547665958889 36923369033457 110770107100371 332310321301113