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12022322310031 = 114492434161229
BaseRepresentation
bin1010111011110010101001…
…0000000010101110001111
31120120022201022102221111211
42232330222100002232033
53033433204002410111
641322551214355251
72350404232350415
oct256745220025617
946508638387454
1012022322310031
113915702582810
12142200b4bbb27
13692914251367
142d7c5249d2b5
1515cadc9b8521
hexaef2a402b8f

12022322310031 has 8 divisors (see below), whose sum is σ = 13144470642000. Its totient is φ = 10905042301440.

The previous prime is 12022322309957. The next prime is 12022322310079. The reversal of 12022322310031 is 13001322322021.

12022322310031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12022322310031 - 227 = 12022188092303 is a prime.

It is a super-2 number, since 2×120223223100312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12022322309984 and 12022322310011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022322410031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1217075676 + ... + 1217085553.

It is an arithmetic number, because the mean of its divisors is an integer number (1643058830250).

Almost surely, 212022322310031 is an apocalyptic number.

12022322310031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12022322310031 is a deficient number, since it is larger than the sum of its proper divisors (1122148331969).

12022322310031 is a wasteful number, since it uses less digits than its factorization.

12022322310031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434161689.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12022322310031 its reverse (13001322322021), we get a palindrome (25023644632052).

The spelling of 12022322310031 in words is "twelve trillion, twenty-two billion, three hundred twenty-two million, three hundred ten thousand, thirty-one".

Divisors: 1 11 449 4939 2434161229 26775773519 1092938391821 12022322310031