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330322220001013 = 171011109481736013
BaseRepresentation
bin100101100011011010010001…
…0100101011010011011110101
31121022120111101110102101012211
41023012310202211122123311
5321243444401310013023
63130311533304213421
7126401664355040002
oct11306644245323365
91538514343371184
10330322220001013
1196283959787479
123106a7ab16a271
1311241336c62956
145b7d975db28a9
15282c68b8d0a0d
hex12c6d2295a6f5

330322220001013 has 32 divisors (see below), whose sum is σ = 353617550557920. Its totient is φ = 307463426457600.

The previous prime is 330322220000989. The next prime is 330322220001077. The reversal of 330322220001013 is 310100022223033.

It can be written as a sum of positive squares in 16 ways, for example, as 90555359859364 + 239766860141649 = 9516058^2 + 15484407^2 .

It is a cyclic number.

It is not a de Polignac number, because 330322220001013 - 29 = 330322220000501 is a prime.

It is a super-2 number, since 2×3303222200010132 (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 (330322220001413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9172286995 + ... + 9172323007.

It is an arithmetic number, because the mean of its divisors is an integer number (11050548454935).

Almost surely, 2330322220001013 is an apocalyptic number.

It is an amenable number.

330322220001013 is a deficient number, since it is larger than the sum of its proper divisors (23295330556907).

330322220001013 is a wasteful number, since it uses less digits than its factorization.

330322220001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42057.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 330322220001013 its reverse (310100022223033), we get a palindrome (640422242224046).

The spelling of 330322220001013 in words is "three hundred thirty trillion, three hundred twenty-two billion, two hundred twenty million, one thousand, thirteen".

Divisors: 1 17 101 1109 1717 4817 18853 36013 81889 112009 486517 612221 1904153 3637313 5342053 8270789 39938417 61834321 90814901 173474621 539547353 678953089 2949068557 4033780117 9172305001 17520936721 68574261989 192383354689 297855924257 3270517029713 19430718823589 330322220001013