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224032123331 is a prime number
BaseRepresentation
bin1101000010100101011…
…0101110100111000011
3210102021011222001010022
43100221112232213003
512132304210421311
6250530253524055
722120503425342
oct3205126564703
9712234861108
10224032123331
1187014325155
1237503aa362b
1318184184ab3
14abb3abdb59
155c631ad5db
hex34295ae9c3

224032123331 has 2 divisors, whose sum is σ = 224032123332. Its totient is φ = 224032123330.

The previous prime is 224032123313. The next prime is 224032123363. The reversal of 224032123331 is 133321230422.

It is a happy number.

224032123331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (224032123313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-224032123331 is a prime.

It is a super-2 number, since 2×2240321233312 (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 224032123331.

It is not a weakly prime, because it can be changed into another prime (224032120331) 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, 112016061665 + 112016061666.

It is an arithmetic number, because the mean of its divisors is an integer number (112016061666).

Almost surely, 2224032123331 is an apocalyptic number.

224032123331 is a deficient number, since it is larger than the sum of its proper divisors (1).

224032123331 is an equidigital number, since it uses as much as digits as its factorization.

224032123331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 224032123331 its reverse (133321230422), we get a palindrome (357353353753).

The spelling of 224032123331 in words is "two hundred twenty-four billion, thirty-two million, one hundred twenty-three thousand, three hundred thirty-one".