Search a number
-
+
330121332231220 = 22599731695224277
BaseRepresentation
bin100101100001111100101110…
…0101111011000110000110100
31121021212021212020122022111201
41023003321130233120300310
5321232201442022344340
63130035351342142244
7126351323234132605
oct11303713457306064
91537767766568451
10330121332231220
1196206741887732
1231037886281984
1311228400a3cb0a
145b73d5a039dac
15282733054879a
hex12c3e5cbd8c34

330121332231220 has 48 divisors (see below), whose sum is σ = 694169252174160. Its totient is φ = 131874434740224.

The previous prime is 330121332231181. The next prime is 330121332231247. The reversal of 330121332231220 is 22132233121033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 116859645706896 + 213261686524324 = 10810164^2 + 14603482^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60577722 + ... + 65801998.

It is an arithmetic number, because the mean of its divisors is an integer number (14461859420295).

Almost surely, 2330121332231220 is an apocalyptic number.

It is an amenable number.

330121332231220 is an abundant number, since it is smaller than the sum of its proper divisors (364047919942940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330121332231220 is a wasteful number, since it uses less digits than its factorization.

330121332231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228452 (or 5228450 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 330121332231220 its reverse (22132233121033), we get a palindrome (352253565352253).

The spelling of 330121332231220 in words is "three hundred thirty trillion, one hundred twenty-one billion, three hundred thirty-two million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 997 1994 3169 3988 4985 6338 9970 12676 15845 19940 31690 63380 3159493 5224277 6318986 10448554 12637972 15797465 20897108 26121385 31594930 52242770 63189860 104485540 5208604169 10417208338 16555733813 20834416676 26043020845 33111467626 52086041690 66222935252 82778669065 104172083380 165557338130 331114676260 16506066611561 33012133223122 66024266446244 82530333057805 165060666115610 330121332231220