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113312000029 is a prime number
BaseRepresentation
bin110100110000111101…
…0111110100000011101
3101211110220112000021211
41221201322332200131
53324030333000104
6124015501224421
711120656052134
oct1514172764035
9354426460254
10113312000029
1144067740818
1219b63b62111
13a8ba721237
1456ad00491b
152e32c6ae04
hex1a61ebe81d

113312000029 has 2 divisors, whose sum is σ = 113312000030. Its totient is φ = 113312000028.

The previous prime is 113311999979. The next prime is 113312000033. The reversal of 113312000029 is 920000213311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91110404025 + 22201596004 = 301845^2 + 149002^2 .

It is a cyclic number.

It is not a de Polignac number, because 113312000029 - 221 = 113309902877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113311999973 and 113312000009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113312010029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656000014 + 56656000015.

It is an arithmetic number, because the mean of its divisors is an integer number (56656000015).

Almost surely, 2113312000029 is an apocalyptic number.

It is an amenable number.

113312000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312000029 is an equidigital number, since it uses as much as digits as its factorization.

113312000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 113312000029 in words is "one hundred thirteen billion, three hundred twelve million, twenty-nine", and thus it is an aban number.