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233013232229 is a prime number
BaseRepresentation
bin1101100100000010101…
…0111100001001100101
3211021110002111122102012
43121000222330021211
512304202341412404
6255013402124005
722556166536321
oct3310052741145
9737402448365
10233013232229
118a9029931a8
12391ab7b0605
1318c85a4c60b
14b3c67b8981
1560db8a7a6e
hex3640abc265

233013232229 has 2 divisors, whose sum is σ = 233013232230. Its totient is φ = 233013232228.

The previous prime is 233013232217. The next prime is 233013232237. The reversal of 233013232229 is 922232310332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154488302500 + 78524929729 = 393050^2 + 280223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233013232229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233013232195 and 233013232204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233013232129) 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, 116506616114 + 116506616115.

It is an arithmetic number, because the mean of its divisors is an integer number (116506616115).

Almost surely, 2233013232229 is an apocalyptic number.

It is an amenable number.

233013232229 is a deficient number, since it is larger than the sum of its proper divisors (1).

233013232229 is an equidigital number, since it uses as much as digits as its factorization.

233013232229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 233013232229 in words is "two hundred thirty-three billion, thirteen million, two hundred thirty-two thousand, two hundred twenty-nine".