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112333022310031 is a prime number
BaseRepresentation
bin11001100010101010010001…
…111001000010111010001111
3112201201221011110121211010221
4121202222101321002322033
5104210431012202410111
61034525024504412211
732442536004121525
oct3142522171027217
9481657143554127
10112333022310031
113287a19263a596
1210722a85a77067
134a8ac5cc22743
141da4d39510315
15cec08dec7371
hex662a91e42e8f

112333022310031 has 2 divisors, whose sum is σ = 112333022310032. Its totient is φ = 112333022310030.

The previous prime is 112333022310029. The next prime is 112333022310127. The reversal of 112333022310031 is 130013220333211.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 112333022310031 - 21 = 112333022310029 is a prime.

It is a super-2 number, since 2×1123330223100312 (a number of 29 digits) contains 22 as substring.

Together with 112333022310029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 112333022309978 and 112333022310005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112333022310001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56166511155015 + 56166511155016.

It is an arithmetic number, because the mean of its divisors is an integer number (56166511155016).

Almost surely, 2112333022310031 is an apocalyptic number.

112333022310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

112333022310031 is an equidigital number, since it uses as much as digits as its factorization.

112333022310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 112333022310031 its reverse (130013220333211), we get a palindrome (242346242643242).

The spelling of 112333022310031 in words is "one hundred twelve trillion, three hundred thirty-three billion, twenty-two million, three hundred ten thousand, thirty-one".