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1234322234321 = 11210139901
BaseRepresentation
bin10001111101100011010…
…101101001101111010001
311101000000001001021012012
4101331203111221233101
5130210342442444241
62343012333112305
7155114440611101
oct21754325515721
94330001037165
101234322234321
114365227a4800
1217b278028695
138c51c2856b7
1443a54a07201
1522192edb6eb
hex11f63569bd1

1234322234321 has 24 divisors (see below), whose sum is σ = 1370440087464. Its totient is φ = 1110888900000.

The previous prime is 1234322234293. The next prime is 1234322234357.

1234322234321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1047429433600 + 186892800721 = 1023440^2 + 432311^2 .

It is not a de Polignac number, because 1234322234321 - 210 = 1234322233297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234322237321) 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 in 23 ways as a sum of consecutive naturals, for example, 124661471 + ... + 124671371.

It is an arithmetic number, because the mean of its divisors is an integer number (57101670311).

Almost surely, 21234322234321 is an apocalyptic number.

1234322234321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1234322234321 is a deficient number, since it is larger than the sum of its proper divisors (136117853143).

1234322234321 is an frugal number, since it uses more digits than its factorization.

1234322234321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10013 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 1234322234321 in words is "one trillion, two hundred thirty-four billion, three hundred twenty-two million, two hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 11 101 121 1111 9901 10201 12221 108911 112211 1000001 1030301 1198021 1234321 11000011 11333311 101000101 121000121 124666421 1111001111 10201010201 12221012221 112211112211 1234322234321