Search a number
-
+
330200120311321 = 13557409911125019
BaseRepresentation
bin100101100010100001011010…
…0111000000011111000011001
31121022010211020010022110221111
41023011002310320003320121
5321234444321244430241
63130135501404140321
7126360112541562211
oct11305026470037031
91538124203273844
10330200120311321
11962370a2686417
123104abb42376a1
1311232978a68a60
145b77ab1c61241
1528293e2424c81
hex12c50b4e03e19

330200120311321 has 16 divisors (see below), whose sum is σ = 356325490584000. Its totient is φ = 304178640153408.

The previous prime is 330200120311253. The next prime is 330200120311393. The reversal of 330200120311321 is 123113021002033.

It is a cyclic number.

It is not a de Polignac number, because 330200120311321 - 213 = 330200120303129 is a prime.

It is a super-2 number, since 2×3302001203113212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330200120311292 and 330200120311301.

It is not an unprimeable number, because it can be changed into a prime (330200120311021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24118350 + ... + 35243368.

It is an arithmetic number, because the mean of its divisors is an integer number (22270343161500).

Almost surely, 2330200120311321 is an apocalyptic number.

It is an amenable number.

330200120311321 is a deficient number, since it is larger than the sum of its proper divisors (26125370272679).

330200120311321 is a wasteful number, since it uses less digits than its factorization.

330200120311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129688.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 330200120311321 its reverse (123113021002033), we get a palindrome (453313141313354).

The spelling of 330200120311321 in words is "three hundred thirty trillion, two hundred billion, one hundred twenty million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 13 557 4099 7241 53287 2283143 11125019 29680859 144625247 6196635583 45601452881 80556262579 592818887453 25400009254717 330200120311321