Search a number
-
+
332230013101323 = 33372119322513347
BaseRepresentation
bin100101110001010010101001…
…1111010100010010100001011
31121120022212201211201101211000
41023202211103322202110023
5322021224031323220243
63134332205551310043
7126656553302604441
oct11342452372422413
91546285654641730
10332230013101323
1196949a591a4827
123131849b21b323
131134c2043c8a3c
145c0803880cb91
1528620e99005d3
hex12e2953ea250b

332230013101323 has 96 divisors (see below), whose sum is σ = 506654904510720. Its totient is φ = 215159952672000.

The previous prime is 332230013101303. The next prime is 332230013101361. The reversal of 332230013101323 is 323101310032233.

332230013101323 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 300 + 1 + 31 + 0 + 1 + 323 = 666.

It is not a de Polignac number, because 332230013101323 - 226 = 332229945992459 is a prime.

It is a super-2 number, since 2×3322300131013232 (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 not an unprimeable number, because it can be changed into a prime (332230013101303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99262027936 + ... + 99262031282.

It is an arithmetic number, because the mean of its divisors is an integer number (5277655255320).

Almost surely, 2332230013101323 is an apocalyptic number.

332230013101323 is a deficient number, since it is larger than the sum of its proper divisors (174424891409397).

332230013101323 is a wasteful number, since it uses less digits than its factorization.

332230013101323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332230013101323 its reverse (323101310032233), we get a palindrome (655331323133556).

The spelling of 332230013101323 in words is "three hundred thirty-two trillion, two hundred thirty billion, thirteen million, one hundred one thousand, three hundred twenty-three".

Divisors: 1 3 9 27 37 111 333 999 1193 1369 2251 3347 3579 4107 6753 10041 10737 12321 20259 30123 32211 36963 44141 60777 83287 90369 123839 132423 249861 371517 397269 749583 1114551 1191807 1633217 2248749 2685443 3081619 3343653 3992971 4582043 4899651 7534097 8056329 9244857 11978913 13746129 14698953 22602291 24168987 27734571 35936739 41238387 44096859 67806873 72506961 83203713 99361391 107810217 123715161 147739927 203420619 278761589 298084173 443219781 836284767 894252519 1329659343 2508854301 2682757557 3676371467 3988978029 5466377299 7526562903 8988177721 10314178793 11029114401 16399131897 26964533163 30942536379 33087343203 49197395691 80893599489 92827609137 99262029609 147592187073 242680798467 278482827411 332562575677 997687727031 2993063181093 8979189543279 12304815300049 36914445900147 110743337700441 332230013101323