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112313100121 is a prime number
BaseRepresentation
bin110100010011001100…
…0011110011101011001
3101201220021220122012221
41220212120132131121
53320004123200441
6123332415304041
711054136412405
oct1504630363531
9351807818187
10112313100121
11436a48a9502
121992551b021
13a78b7aa9c1
1456164a2105
152dc52058d1
hex1a2661e759

112313100121 has 2 divisors, whose sum is σ = 112313100122. Its totient is φ = 112313100120.

The previous prime is 112313100061. The next prime is 112313100149. The reversal of 112313100121 is 121001313211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90093024025 + 22220076096 = 300155^2 + 149064^2 .

It is a cyclic number.

It is not a de Polignac number, because 112313100121 - 29 = 112313099609 is a prime.

It is a super-2 number, since 2×1123131001212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112313100095 and 112313100104.

It is not a weakly prime, because it can be changed into another prime (112313160121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56156550060 + 56156550061.

It is an arithmetic number, because the mean of its divisors is an integer number (56156550061).

Almost surely, 2112313100121 is an apocalyptic number.

It is an amenable number.

112313100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112313100121 is an equidigital number, since it uses as much as digits as its factorization.

112313100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 112313100121 its reverse (121001313211), we get a palindrome (233314413332).

The spelling of 112313100121 in words is "one hundred twelve billion, three hundred thirteen million, one hundred thousand, one hundred twenty-one".