Search a number
-
+
233032001113 is a prime number
BaseRepresentation
bin1101100100000111001…
…0100010011001011001
3211021111101211012111001
43121001302202121121
512304222143013423
6255015312305001
722556515220152
oct3310162423131
9737441735431
10233032001113
118a91254257a
12391b5b42161
1318c898c1572
14b3c90a2929
1560dd363cad
hex3641ca2659

233032001113 has 2 divisors, whose sum is σ = 233032001114. Its totient is φ = 233032001112.

The previous prime is 233032001057. The next prime is 233032001159. The reversal of 233032001113 is 311100230332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230618931984 + 2413069129 = 480228^2 + 49123^2 .

It is a cyclic number.

It is not a de Polignac number, because 233032001113 - 233 = 224442066521 is a prime.

It is not a weakly prime, because it can be changed into another prime (233032001513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116516000556 + 116516000557.

It is an arithmetic number, because the mean of its divisors is an integer number (116516000557).

Almost surely, 2233032001113 is an apocalyptic number.

It is an amenable number.

233032001113 is a deficient number, since it is larger than the sum of its proper divisors (1).

233032001113 is an equidigital number, since it uses as much as digits as its factorization.

233032001113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 233032001113 its reverse (311100230332), we get a palindrome (544132231445).

The spelling of 233032001113 in words is "two hundred thirty-three billion, thirty-two million, one thousand, one hundred thirteen".