Search a number
-
+
330313032323310 = 23523478714539599
BaseRepresentation
bin100101100011010101111111…
…0111101001101000011101110
31121022112121200011011222210110
41023012223332331031003232
5321243322042233321220
63130303413500320450
7126401220603052431
oct11306537675150356
91538477604158713
10330313032323310
119627aa7455a203
1231068a66243126
1311240501650c7a
145b7d343aa5818
15282c2eeed0be0
hex12c6afef4d0ee

330313032323310 has 32 divisors (see below), whose sum is σ = 827218724428800. Its totient is φ = 84253758969248.

The previous prime is 330313032323291. The next prime is 330313032323327. The reversal of 330313032323310 is 13323230313033.

It is a happy number.

It is a super-2 number, since 2×3303130323233102 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 239357269110 + ... + 239357270489.

It is an arithmetic number, because the mean of its divisors is an integer number (25850585138400).

Almost surely, 2330313032323310 is an apocalyptic number.

330313032323310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330313032323310 is an abundant number, since it is smaller than the sum of its proper divisors (496905692105490).

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

330313032323310 is a wasteful number, since it uses less digits than its factorization.

330313032323310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478714539632.

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 330313032323310 its reverse (13323230313033), we get a palindrome (343636262636343).

The spelling of 330313032323310 in words is "three hundred thirty trillion, three hundred thirteen billion, thirty-two million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 478714539599 957429079198 1436143618797 2393572697995 2872287237594 4787145395990 7180718093985 11010434410777 14361436187970 22020868821554 33031303232331 55052172053885 66062606464662 110104344107770 165156516161655 330313032323310