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11311122213 = 322961829857
BaseRepresentation
bin10101000100011001…
…00000011100100101
31002012021212112200100
422202030200130211
5141131121402323
65110220334313
7550204644456
oct124214403445
932167775610
1011311122213
114884919596
1222380a4399
1310b351aa31
1479433b12d
15463048943
hex2a2320725

11311122213 has 48 divisors (see below), whose sum is σ = 17219545200. Its totient is φ = 7144381440.

The previous prime is 11311122191. The next prime is 11311122239. The reversal of 11311122213 is 31222111311.

It can be written as a sum of positive squares in 8 ways, for example, as 161604 + 11310960609 = 402^2 + 106353^2 .

It is not a de Polignac number, because 11311122213 - 28 = 11311121957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311122013) 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 47 ways as a sum of consecutive naturals, for example, 13198081 + ... + 13198937.

It is an arithmetic number, because the mean of its divisors is an integer number (358740525).

Almost surely, 211311122213 is an apocalyptic number.

It is an amenable number.

11311122213 is a deficient number, since it is larger than the sum of its proper divisors (5908422987).

11311122213 is a wasteful number, since it uses less digits than its factorization.

11311122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1779 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11311122213 its reverse (31222111311), we get a palindrome (42533233524).

The spelling of 11311122213 in words is "eleven billion, three hundred eleven million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 29 61 87 183 261 549 829 857 1769 2487 2571 5307 7461 7713 15921 24041 24853 50569 52277 72123 74559 151707 156831 216369 223677 455121 470493 710453 1466501 1516033 2131359 4399503 4548099 6394077 13198509 13644297 20603137 43337633 61809411 130012899 185428233 390038697 1256791357 3770374071 11311122213