Search a number
-
+
330231210033033 = 3312230785556779
BaseRepresentation
bin100101100010101111111000…
…1111101111011111110001001
31121022020210110211002222111000
41023011133301331323332021
5321241002004232024113
63130202042404525213
7126362263143055251
oct11305376175737611
91538223424088430
10330231210033033
11962492a6a54501
12310550300b0809
1311235891b233aa
145b793c0cd0961
15282a111a54373
hex12c57f1f7bf89

330231210033033 has 8 divisors (see below), whose sum is σ = 489231422271200. Its totient is φ = 220154140022004.

The previous prime is 330231210033013. The next prime is 330231210033073. The reversal of 330231210033033 is 330330012132033.

330231210033033 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 312 + 10 + 0 + 330 + 3 + 3 = 666.

It is not a de Polignac number, because 330231210033033 - 237 = 330093771079561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12230785556779 = 330231210033033 / (3 + 3 + 0 + 2 + 3 + 1 + 2 + 1 + 0 + 0 + 3 + 3 + 0 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330231210032988 and 330231210033006.

It is not an unprimeable number, because it can be changed into a prime (330231210033013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6115392778363 + ... + 6115392778416.

It is an arithmetic number, because the mean of its divisors is an integer number (61153927783900).

Almost surely, 2330231210033033 is an apocalyptic number.

It is an amenable number.

330231210033033 is a deficient number, since it is larger than the sum of its proper divisors (159000212238167).

330231210033033 is a wasteful number, since it uses less digits than its factorization.

330231210033033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230785556788 (or 12230785556782 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330231210033033 its reverse (330330012132033), we get a palindrome (660561222165066).

The spelling of 330231210033033 in words is "three hundred thirty trillion, two hundred thirty-one billion, two hundred ten million, thirty-three thousand, thirty-three".

Divisors: 1 3 9 27 12230785556779 36692356670337 110077070011011 330231210033033