Search a number
-
+
331210222122231 = 32233494584668717
BaseRepresentation
bin100101101001110111110001…
…1101000101011010011110111
31121102201101110212002001212100
41023103233203220223103313
5321403022013330402411
63132231513035353143
7126523102031400054
oct11323574350532367
91542641425061770
10331210222122231
1196596514834371
12311929152b27b3
13112a6cb3b4a8aa
145bb0935b7002b
15284581095a456
hex12d3be3a2b4f7

331210222122231 has 24 divisors (see below), whose sum is σ = 500645824005600. Its totient is φ = 210601342138176.

The previous prime is 331210222122163. The next prime is 331210222122271. The reversal of 331210222122231 is 132221222012133.

331210222122231 is a `hidden beast` number, since 3 + 3 + 1 + 210 + 2 + 2 + 212 + 2 + 231 = 666.

It is not a de Polignac number, because 331210222122231 - 29 = 331210222121719 is a prime.

It is a super-2 number, since 2×3312102221222312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331210222122195 and 331210222122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331210222122271) 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 23 ways as a sum of consecutive naturals, for example, 2292262116 + ... + 2292406601.

It is an arithmetic number, because the mean of its divisors is an integer number (20860242666900).

Almost surely, 2331210222122231 is an apocalyptic number.

331210222122231 is a deficient number, since it is larger than the sum of its proper divisors (169435601883369).

331210222122231 is a wasteful number, since it uses less digits than its factorization.

331210222122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584669095 (or 4584669092 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331210222122231 its reverse (132221222012133), we get a palindrome (463431444134364).

The spelling of 331210222122231 in words is "three hundred thirty-one trillion, two hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 23 69 207 349 1047 3141 8027 24081 72243 4584668717 13754006151 41262018453 105447380491 316342141473 949026424419 1600049382233 4800148146699 14400444440097 36801135791359 110403407374077 331210222122231