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2300000034001 is a prime number
BaseRepresentation
bin100001011110000010101…
…011110101110011010001
322010212200221211121100111
4201132002223311303101
5300140400002042001
64520334434521321
7325112100501505
oct41360253656321
98125627747314
102300000034001
1180747407068a
12311909436241
13138b733a55a7
147d46ba00305
153ec65696851
hex21782af5cd1

2300000034001 has 2 divisors, whose sum is σ = 2300000034002. Its totient is φ = 2300000034000.

The previous prime is 2300000033993. The next prime is 2300000034053. The reversal of 2300000034001 is 1004300000032.

2300000034001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2245655099601 + 54344934400 = 1498551^2 + 233120^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300000034001 - 23 = 2300000033993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2300000034301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150000017000 + 1150000017001.

It is an arithmetic number, because the mean of its divisors is an integer number (1150000017001).

Almost surely, 22300000034001 is an apocalyptic number.

It is an amenable number.

2300000034001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300000034001 is an equidigital number, since it uses as much as digits as its factorization.

2300000034001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 2300000034001 its reverse (1004300000032), we get a palindrome (3304300034033).

The spelling of 2300000034001 in words is "two trillion, three hundred billion, thirty-four thousand, one".