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233122000253 is a prime number
BaseRepresentation
bin1101100100011100100…
…1110110110101111101
3211021201200011122002112
43121013021312311331
512304413213002003
6255032245303405
722561660210262
oct3310711666575
9737650148075
10233122000253
118a95932322a
1239220104b65
1318ca2442cac
14b3d700d269
1560e61e03d8
hex3647276d7d

233122000253 has 2 divisors, whose sum is σ = 233122000254. Its totient is φ = 233122000252.

The previous prime is 233122000231. The next prime is 233122000277. The reversal of 233122000253 is 352000221332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218899529689 + 14222470564 = 467867^2 + 119258^2 .

It is a cyclic number.

It is not a de Polignac number, because 233122000253 - 224 = 233105223037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233122050253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116561000126 + 116561000127.

It is an arithmetic number, because the mean of its divisors is an integer number (116561000127).

Almost surely, 2233122000253 is an apocalyptic number.

It is an amenable number.

233122000253 is a deficient number, since it is larger than the sum of its proper divisors (1).

233122000253 is an equidigital number, since it uses as much as digits as its factorization.

233122000253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 233122000253 its reverse (352000221332), we get a palindrome (585122221585).

The spelling of 233122000253 in words is "two hundred thirty-three billion, one hundred twenty-two million, two hundred fifty-three", and thus it is an aban number.