Search a number
-
+
330313030101223 = 131919137318770963
BaseRepresentation
bin100101100011010101111111…
…0110100101110100011100111
31121022112121200000000002122221
41023012223332310232203213
5321243322041201214343
63130303413340533211
7126401220545136151
oct11306537664564347
91538477600002587
10330313030101223
119627aa73281774
1231068a65551207
1311240501053720
145b7d343687ad1
15282c2eebe25ed
hex12c6afed2e8e7

330313030101223 has 32 divisors (see below), whose sum is σ = 377413507215360. Its totient is φ = 286574024338560.

The previous prime is 330313030101127. The next prime is 330313030101289. The reversal of 330313030101223 is 322101030313033.

It is a de Polignac number, because none of the positive numbers 2k-330313030101223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330313030108223) 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 31 ways as a sum of consecutive naturals, for example, 8211540 + ... + 26982502.

It is an arithmetic number, because the mean of its divisors is an integer number (11794172100480).

Almost surely, 2330313030101223 is an apocalyptic number.

330313030101223 is a deficient number, since it is larger than the sum of its proper divisors (47100477114137).

330313030101223 is a wasteful number, since it uses less digits than its factorization.

330313030101223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771559.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 330313030101223 its reverse (322101030313033), we get a palindrome (652414060414256).

The spelling of 330313030101223 in words is "three hundred thirty trillion, three hundred thirteen billion, thirty million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 13 19 191 247 373 2483 3629 4849 7087 47177 71243 92131 926159 1353617 17597021 18770963 244022519 356648297 3585253933 4636427861 7001569199 46608301129 68119824727 91020399587 133029814781 885557721451 1337299717009 1729387592153 17384896321117 25408694623171 330313030101223