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233404122431 is a prime number
BaseRepresentation
bin1101100101011111111…
…0000100010100111111
3211022110100000220222002
43121113332010110333
512311002423404211
6255120244212515
722601654210024
oct3312776042477
9738410026862
10233404122431
118aa935a6857
123929a69a13b
1319018a215ac
14b42268b54b
156110d6c03b
hex3657f8453f

233404122431 has 2 divisors, whose sum is σ = 233404122432. Its totient is φ = 233404122430.

The previous prime is 233404122401. The next prime is 233404122439. The reversal of 233404122431 is 134221404332.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233404122431 is a prime.

It is a super-3 number, since 3×2334041224313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 233404122394 and 233404122403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233404122439) 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, 116702061215 + 116702061216.

It is an arithmetic number, because the mean of its divisors is an integer number (116702061216).

Almost surely, 2233404122431 is an apocalyptic number.

233404122431 is a deficient number, since it is larger than the sum of its proper divisors (1).

233404122431 is an equidigital number, since it uses as much as digits as its factorization.

233404122431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 233404122431 its reverse (134221404332), we get a palindrome (367625526763).

The spelling of 233404122431 in words is "two hundred thirty-three billion, four hundred four million, one hundred twenty-two thousand, four hundred thirty-one".