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990041221 = 13181420757
BaseRepresentation
bin111011000000101…
…101010010000101
32112222221022020101
4323000231102011
54011422304341
6242124004101
733351132361
oct7300552205
92488838211
10990041221
11468941694
12237690631
1312a161310
14956b82a1
155bdb5831
hex3b02d485

990041221 has 8 divisors (see below), whose sum is σ = 1072091384. Its totient is φ = 908832960.

The previous prime is 990041201. The next prime is 990041263. The reversal of 990041221 is 122140099.

It is a happy number.

It is the 12846-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 234396100 + 755645121 = 15310^2 + 27489^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-990041221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 990041221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990041201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208026 + ... + 212731.

It is an arithmetic number, because the mean of its divisors is an integer number (134011423).

Almost surely, 2990041221 is an apocalyptic number.

It is an amenable number.

990041221 is a deficient number, since it is larger than the sum of its proper divisors (82050163).

990041221 is a wasteful number, since it uses less digits than its factorization.

990041221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420951.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 990041221 is about 31464.9204829760. The cubic root of 990041221 is about 996.6693259264.

The spelling of 990041221 in words is "nine hundred ninety million, forty-one thousand, two hundred twenty-one".

Divisors: 1 13 181 2353 420757 5469841 76157017 990041221