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112131210133 is a prime number
BaseRepresentation
bin110100001101110001…
…0100111101110010101
3101201102121122200001201
41220123202213232111
53314121042211013
6123302400552501
711046500363035
oct1503342475625
9351377580051
10112131210133
11436111658a8
1219894622731
13a75cbc47a7
1455da2758c5
152db42773dd
hex1a1b8a7b95

112131210133 has 2 divisors, whose sum is σ = 112131210134. Its totient is φ = 112131210132.

The previous prime is 112131210131. The next prime is 112131210151. The reversal of 112131210133 is 331012131211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109318180689 + 2813029444 = 330633^2 + 53038^2 .

It is an emirp because it is prime and its reverse (331012131211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112131210133 - 21 = 112131210131 is a prime.

Together with 112131210131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 112131210133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112131210131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56065605066 + 56065605067.

It is an arithmetic number, because the mean of its divisors is an integer number (56065605067).

Almost surely, 2112131210133 is an apocalyptic number.

It is an amenable number.

112131210133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112131210133 is an equidigital number, since it uses as much as digits as its factorization.

112131210133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 112131210133 its reverse (331012131211), we get a palindrome (443143341344).

The spelling of 112131210133 in words is "one hundred twelve billion, one hundred thirty-one million, two hundred ten thousand, one hundred thirty-three".