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233032133101 is a prime number
BaseRepresentation
bin1101100100000111001…
…1000010100111101101
3211021111102001220112111
43121001303002213231
512304222211224401
6255015315204021
722556516310025
oct3310163024755
9737442056474
10233032133101
118a912622759
12391b5ba6611
1318c89939671
14b3c90d8a85
1560dd38ce51
hex3641cc29ed

233032133101 has 2 divisors, whose sum is σ = 233032133102. Its totient is φ = 233032133100.

The previous prime is 233032133057. The next prime is 233032133137. The reversal of 233032133101 is 101331230332.

233032133101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205567026025 + 27465107076 = 453395^2 + 165726^2 .

It is a cyclic number.

It is not a de Polignac number, because 233032133101 - 211 = 233032131053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233032133141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116516066550 + 116516066551.

It is an arithmetic number, because the mean of its divisors is an integer number (116516066551).

Almost surely, 2233032133101 is an apocalyptic number.

It is an amenable number.

233032133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

233032133101 is an equidigital number, since it uses as much as digits as its factorization.

233032133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 233032133101 its reverse (101331230332), we get a palindrome (334363363433).

The spelling of 233032133101 in words is "two hundred thirty-three billion, thirty-two million, one hundred thirty-three thousand, one hundred one".