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1311003323233 = 19216417221209
BaseRepresentation
bin10011000100111101111…
…000110010101101100001
311122022221002001012002021
4103010331320302231201
5132434413322320413
62442133331021441
7163500612245062
oct23047570625541
94568832035067
101311003323233
11465aa221a85a
121920b843a881
139681c9165a6
144764aa82569
152417ee1e18d
hex1313de32b61

1311003323233 has 12 divisors (see below), whose sum is σ = 1383725622180. Its totient is φ = 1241921880576.

The previous prime is 1311003323219. The next prime is 1311003323239. The reversal of 1311003323233 is 3323233001131.

It can be written as a sum of positive squares in 2 ways, for example, as 442932843024 + 868070480209 = 665532^2 + 931703^2 .

It is a de Polignac number, because none of the positive numbers 2k-1311003323233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311003323198 and 1311003323207.

It is not an unprimeable number, because it can be changed into a prime (1311003323239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5815933 + ... + 6037141.

It is an arithmetic number, because the mean of its divisors is an integer number (115310468515).

Almost surely, 21311003323233 is an apocalyptic number.

It is an amenable number.

1311003323233 is a deficient number, since it is larger than the sum of its proper divisors (72722298947).

1311003323233 is a wasteful number, since it uses less digits than its factorization.

1311003323233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237664 (or 237645 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1311003323233 its reverse (3323233001131), we get a palindrome (4634236324364).

The spelling of 1311003323233 in words is "one trillion, three hundred eleven billion, three million, three hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 19 361 16417 221209 311923 4202971 5926537 79856449 3631588153 69000174907 1311003323233