Search a number
-
+
330320223122301 = 3341436939354701
BaseRepresentation
bin100101100011011001010101…
…1100011111011001101111101
31121022120022020021221102121000
41023012302223203323031331
5321243431304104403201
63130311003212200513
7126401564026615116
oct11306625343731575
91538508207842530
10330320223122301
1196283024581995
123106a332469139
13112410a933c209
145b7d826acb20d
15282c5c1437d86
hex12c6cab8fb37d

330320223122301 has 32 divisors (see below), whose sum is σ = 512957099571840. Its totient is φ = 209846086128000.

The previous prime is 330320223122237. The next prime is 330320223122321. The reversal of 330320223122301 is 103221322023033.

330320223122301 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 20 + 22 + 312 + 2 + 301 = 666.

It is not a de Polignac number, because 330320223122301 - 26 = 330320223122237 is a prime.

It is a super-2 number, since 2×3303202231223012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330320223122321) 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, 3469629750 + ... + 3469724951.

It is an arithmetic number, because the mean of its divisors is an integer number (16029909361620).

Almost surely, 2330320223122301 is an apocalyptic number.

It is an amenable number.

330320223122301 is a deficient number, since it is larger than the sum of its proper divisors (182636876449539).

330320223122301 is a wasteful number, since it uses less digits than its factorization.

330320223122301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939354794 (or 6939354788 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 330320223122301 its reverse (103221322023033), we get a palindrome (433541545145334).

The spelling of 330320223122301 in words is "three hundred thirty trillion, three hundred twenty billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred one".

Divisors: 1 3 9 27 41 43 123 129 369 387 1107 1161 1763 5289 15867 47601 6939354701 20818064103 62454192309 187362576927 284513542741 298392252143 853540628223 895176756429 2560621884669 2685530269287 7681865654007 8056590807861 12234082337863 36702247013589 110106741040767 330320223122301