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122003303333 = 612149321961
BaseRepresentation
bin111000110011111110…
…1101010101110100101
3102122220121201222001012
41301213331222232211
53444330321201313
6132014134112005
711546232652622
oct1614775525645
9378817658035
10122003303333
114781775860a
121b78a7ab605
13b67424a162
145c95421349
153290cbbda8
hex1c67f6aba5

122003303333 has 12 divisors (see below), whose sum is σ = 124124875524. Its totient is φ = 119917411200.

The previous prime is 122003303321. The next prime is 122003303339. The reversal of 122003303333 is 333303300221.

It can be written as a sum of positive squares in 6 ways, for example, as 6853025089 + 115150278244 = 82783^2 + 339338^2 .

It is a de Polignac number, because none of the positive numbers 2k-122003303333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122003303299 and 122003303308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003303339) 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 11 ways as a sum of consecutive naturals, for example, 5544473 + ... + 5566433.

It is an arithmetic number, because the mean of its divisors is an integer number (10343739627).

Almost surely, 2122003303333 is an apocalyptic number.

It is an amenable number.

122003303333 is a deficient number, since it is larger than the sum of its proper divisors (2121572191).

122003303333 is an equidigital number, since it uses as much as digits as its factorization.

122003303333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23576 (or 23515 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 122003303333 its reverse (333303300221), we get a palindrome (455306603554).

The spelling of 122003303333 in words is "one hundred twenty-two billion, three million, three hundred three thousand, three hundred thirty-three".

Divisors: 1 61 1493 3721 21961 91073 1339621 5555453 32787773 81716881 2000054153 122003303333