Search a number
-
+
233113123310201 is a prime number
BaseRepresentation
bin110101000000001111100000…
…111010000100101001111001
31010120101101201101001200000022
4311000033200322010221321
5221023311134031411301
62143442405045220225
7100046603336363201
oct6500174072045171
91116341641050008
10233113123310201
11683057a1953392
122218aa75401675
13a00c61c824c64
14417ca41bd1401
151be3c199a4d1b
hexd403e0e84a79

233113123310201 has 2 divisors, whose sum is σ = 233113123310202. Its totient is φ = 233113123310200.

The previous prime is 233113123310099. The next prime is 233113123310231. The reversal of 233113123310201 is 102013321311332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121707230410000 + 111405892900201 = 11032100^2 + 10554899^2 .

It is a cyclic number.

It is not a de Polignac number, because 233113123310201 - 210 = 233113123309177 is a prime.

It is not a weakly prime, because it can be changed into another prime (233113123310231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116556561655100 + 116556561655101.

It is an arithmetic number, because the mean of its divisors is an integer number (116556561655101).

Almost surely, 2233113123310201 is an apocalyptic number.

It is an amenable number.

233113123310201 is a deficient number, since it is larger than the sum of its proper divisors (1).

233113123310201 is an equidigital number, since it uses as much as digits as its factorization.

233113123310201 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 26.

Adding to 233113123310201 its reverse (102013321311332), we get a palindrome (335126444621533).

The spelling of 233113123310201 in words is "two hundred thirty-three trillion, one hundred thirteen billion, one hundred twenty-three million, three hundred ten thousand, two hundred one".