Search a number
-
+
12114330221331 = 3213531953609131
BaseRepresentation
bin1011000001001001011001…
…0110010111101100010011
31120220010012111120010010100
42300102112112113230103
53041440122014040311
641433125123303443
72360142252605652
oct260222626275423
946803174503110
1012114330221331
113950727654328
121437a0881ab83
1369b4b805a920
142dc49dd15199
151601c526ba56
hexb0496597b13

12114330221331 has 24 divisors (see below), whose sum is σ = 19200070549296. Its totient is φ = 7314312582720.

The previous prime is 12114330221327. The next prime is 12114330221347. The reversal of 12114330221331 is 13312203341121.

12114330221331 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 3 + 302 + 21 + 331 = 666.

It is not a de Polignac number, because 12114330221331 - 22 = 12114330221327 is a prime.

It is a super-4 number, since 4×121143302213314 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a junction number, because it is equal to n+sod(n) for n = 12114330221295 and 12114330221304.

It is not an unprimeable number, because it can be changed into a prime (12114330221321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 976798365 + ... + 976810766.

It is an arithmetic number, because the mean of its divisors is an integer number (800002939554).

Almost surely, 212114330221331 is an apocalyptic number.

12114330221331 is a deficient number, since it is larger than the sum of its proper divisors (7085740327965).

12114330221331 is a wasteful number, since it uses less digits than its factorization.

12114330221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953609203 (or 1953609200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12114330221331 its reverse (13312203341121), we get a palindrome (25426533562452).

The spelling of 12114330221331 in words is "twelve trillion, one hundred fourteen billion, three hundred thirty million, two hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 1953609131 5860827393 17582482179 25396918703 76190756109 103541283943 228572268327 310623851829 931871555487 1346036691259 4038110073777 12114330221331