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2001310315129 is a prime number
BaseRepresentation
bin11101000111110111011…
…000111111001001111001
321002022201202102202102001
4131013313120333021321
5230242140420041004
64131220025341001
7264406222666546
oct35076730771171
97068652382361
102001310315129
11701829553a54
12283a4a937761
13116951b71478
146cc148d7bcd
15370d30591a4
hex1d1f763f279

2001310315129 has 2 divisors, whose sum is σ = 2001310315130. Its totient is φ = 2001310315128.

The previous prime is 2001310315061. The next prime is 2001310315157. The reversal of 2001310315129 is 9215130131002.

It is an a-pointer prime, because the next prime (2001310315157) can be obtained adding 2001310315129 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1213258190400 + 788052124729 = 1101480^2 + 887723^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001310315129 - 211 = 2001310313081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001310315097 and 2001310315106.

It is not a weakly prime, because it can be changed into another prime (2001310315159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000655157564 + 1000655157565.

It is an arithmetic number, because the mean of its divisors is an integer number (1000655157565).

Almost surely, 22001310315129 is an apocalyptic number.

It is an amenable number.

2001310315129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001310315129 is an equidigital number, since it uses as much as digits as its factorization.

2001310315129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 2001310315129 in words is "two trillion, one billion, three hundred ten million, three hundred fifteen thousand, one hundred twenty-nine".