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233312321141 is a prime number
BaseRepresentation
bin1101100101001001111…
…1110111111001110101
3211022012221021221021022
43121102133313321311
512310310423234031
6255103204430525
722566461002544
oct3312237677165
9738187257238
10233312321141
118aa467a5119
12392739a8445
13190029bb7c3
14b4143d215b
156107c8697b
hex36527f7e75

233312321141 has 2 divisors, whose sum is σ = 233312321142. Its totient is φ = 233312321140.

The previous prime is 233312321071. The next prime is 233312321147. The reversal of 233312321141 is 141123213332.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214071857041 + 19240464100 = 462679^2 + 138710^2 .

It is a cyclic number.

It is not a de Polignac number, because 233312321141 - 210 = 233312320117 is a prime.

It is a super-2 number, since 2×2333123211412 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233312321141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233312321147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116656160570 + 116656160571.

It is an arithmetic number, because the mean of its divisors is an integer number (116656160571).

Almost surely, 2233312321141 is an apocalyptic number.

It is an amenable number.

233312321141 is a deficient number, since it is larger than the sum of its proper divisors (1).

233312321141 is an equidigital number, since it uses as much as digits as its factorization.

233312321141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

Adding to 233312321141 its reverse (141123213332), we get a palindrome (374435534473).

The spelling of 233312321141 in words is "two hundred thirty-three billion, three hundred twelve million, three hundred twenty-one thousand, one hundred forty-one".