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122314332000233 = 828891475640097
BaseRepresentation
bin11011110011111010000110…
…010011110100111111101001
3121001002010200002201221221002
4123303322012103310333221
5112012444222443001413
61112050232311324345
734522630112462042
oct3363720623647751
9531063602657832
10122314332000233
1135a7824276018a
12118754063806b5
135333265b21b49
14222c08c27b8c9
15e21a23155958
hex6f3e864f4fe9

122314332000233 has 4 divisors (see below), whose sum is σ = 122315807723220. Its totient is φ = 122312856277248.

The previous prime is 122314332000199. The next prime is 122314332000253. The reversal of 122314332000233 is 332000233413221.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 111956439416809 + 10357892583424 = 10580947^2 + 3218368^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122314332000233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122314332000196 and 122314332000205.

It is not an unprimeable number, because it can be changed into a prime (122314332000253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 737737160 + ... + 737902937.

It is an arithmetic number, because the mean of its divisors is an integer number (30578951930805).

Almost surely, 2122314332000233 is an apocalyptic number.

It is an amenable number.

122314332000233 is a deficient number, since it is larger than the sum of its proper divisors (1475722987).

122314332000233 is an equidigital number, since it uses as much as digits as its factorization.

122314332000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475722986.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 122314332000233 its reverse (332000233413221), we get a palindrome (454314565413454).

The spelling of 122314332000233 in words is "one hundred twenty-two trillion, three hundred fourteen billion, three hundred thirty-two million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 82889 1475640097 122314332000233