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303003211121 = 1321792918409
BaseRepresentation
bin1000110100011000110…
…01100001010101110001
31001222002210222221220122
410122030121201111301
514431022310223441
6351110414220025
730614462541032
oct4321431412561
91058083887818
10303003211121
11107559460266
124a8831b4615
132275b098900
1410945d42a89
157d3618934b
hex468c661571

303003211121 has 6 divisors (see below), whose sum is σ = 328104069030. Its totient is φ = 279695271648.

The previous prime is 303003211109. The next prime is 303003211141. The reversal of 303003211121 is 121112300303.

It can be written as a sum of positive squares in 3 ways, for example, as 16418578225 + 286584632896 = 128135^2 + 535336^2 .

It is not a de Polignac number, because 303003211121 - 230 = 301929469297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 303003211121.

It is not an unprimeable number, because it can be changed into a prime (303003211141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 896459036 + ... + 896459373.

It is an arithmetic number, because the mean of its divisors is an integer number (54684011505).

Almost surely, 2303003211121 is an apocalyptic number.

It is an amenable number.

303003211121 is a deficient number, since it is larger than the sum of its proper divisors (25100857909).

303003211121 is a wasteful number, since it uses less digits than its factorization.

303003211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792918435 (or 1792918422 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 303003211121 its reverse (121112300303), we get a palindrome (424115511424).

The spelling of 303003211121 in words is "three hundred three billion, three million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 13 169 1792918409 23307939317 303003211121