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330321022022013 = 311193171740195507
BaseRepresentation
bin100101100011011001101101…
…1001011011111000101111101
31121022120101021222012201222020
41023012303123023133011331
5321243434423114201023
63130311214351310353
7126401622600266601
oct11306633313370575
91538511258181866
10330321022022013
11962833a4531090
123106a515b1b3b9
13112411a59c8339
145b7d8a0c4b501
15282c61b643de3
hex12c6cdb2df17d

330321022022013 has 64 divisors (see below), whose sum is σ = 507384584340480. Its totient is φ = 189046868544000.

The previous prime is 330321022022011. The next prime is 330321022022041. The reversal of 330321022022013 is 310220220123033.

It is not a de Polignac number, because 330321022022013 - 21 = 330321022022011 is a prime.

It is a super-2 number, since 2×3303210220220132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330321022022011) 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 63 ways as a sum of consecutive naturals, for example, 3458557606 + ... + 3458653112.

It is an arithmetic number, because the mean of its divisors is an integer number (7927884130320).

Almost surely, 2330321022022013 is an apocalyptic number.

330321022022013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330321022022013 is a deficient number, since it is larger than the sum of its proper divisors (177063562318467).

330321022022013 is a wasteful number, since it uses less digits than its factorization.

330321022022013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113258.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330321022022013 its reverse (310220220123033), we get a palindrome (640541242145046).

The spelling of 330321022022013 in words is "three hundred thirty trillion, three hundred twenty-one billion, twenty-two million, twenty-two thousand, thirteen".

Divisors: 1 3 11 19 33 57 209 317 627 951 3487 6023 10461 17401 18069 52203 66253 95507 191411 198759 286521 330619 574233 991857 1050577 1814633 3151731 3636809 5443899 5516117 10910427 16548351 19960963 30275719 59882889 60677287 90827157 104806223 182031861 314418669 333032909 575238661 999098727 1152868453 1661917307 1725715983 3458605359 4985751921 6327625271 18281090377 18982875813 31576428833 54843271131 94729286499 347340717163 526827786319 1042022151489 1580483358957 5795105649509 10009727940061 17385316948527 30029183820183 110107007340671 330321022022013