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113312000033 is a prime number
BaseRepresentation
bin110100110000111101…
…0111110100000100001
3101211110220112000021222
41221201322332200201
53324030333000113
6124015501224425
711120656052141
oct1514172764041
9354426460258
10113312000033
1144067740821
1219b63b62115
13a8ba72123b
1456ad004921
152e32c6ae08
hex1a61ebe821

113312000033 has 2 divisors, whose sum is σ = 113312000034. Its totient is φ = 113312000032.

The previous prime is 113312000029. The next prime is 113312000041. The reversal of 113312000033 is 330000213311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75102306304 + 38209693729 = 274048^2 + 195473^2 .

It is a cyclic number.

It is not a de Polignac number, because 113312000033 - 22 = 113312000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113311999975 and 113312000020.

It is not a weakly prime, because it can be changed into another prime (113312000533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656000016 + 56656000017.

It is an arithmetic number, because the mean of its divisors is an integer number (56656000017).

Almost surely, 2113312000033 is an apocalyptic number.

It is an amenable number.

113312000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312000033 is an equidigital number, since it uses as much as digits as its factorization.

113312000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 113312000033 its reverse (330000213311), we get a palindrome (443312213344).

The spelling of 113312000033 in words is "one hundred thirteen billion, three hundred twelve million, thirty-three", and thus it is an aban number.