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12123131130101 = 18451196570379
BaseRepresentation
bin1011000001101010001011…
…1011001011000011110101
31120220221220212000121022102
42300122202323023003311
53042111133032130401
641441142313311445
72360603330236055
oct260324273130365
946827825017272
1012123131130101
113954433523352
121439664105585
1369c28b4b1454
142dca96b03565
1516053cc1d56b
hexb06a2ecb0f5

12123131130101 has 4 divisors (see below), whose sum is σ = 12123139545600. Its totient is φ = 12123122714604.

The previous prime is 12123131130037. The next prime is 12123131130127. The reversal of 12123131130101 is 10103113132121.

12123131130101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 12123131130101 - 26 = 12123131130037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123131130151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1440071 + ... + 5130308.

It is an arithmetic number, because the mean of its divisors is an integer number (3030784886400).

Almost surely, 212123131130101 is an apocalyptic number.

It is an amenable number.

12123131130101 is a deficient number, since it is larger than the sum of its proper divisors (8415499).

12123131130101 is an equidigital number, since it uses as much as digits as its factorization.

12123131130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415498.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 12123131130101 its reverse (10103113132121), we get a palindrome (22226244262222).

The spelling of 12123131130101 in words is "twelve trillion, one hundred twenty-three billion, one hundred thirty-one million, one hundred thirty thousand, one hundred one".

Divisors: 1 1845119 6570379 12123131130101