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11212122013 = 17292784229
BaseRepresentation
bin10100111000100101…
…10110011110011101
31001221101120210221021
422130102312132131
5140430300401023
65052322404141
7544563315241
oct123422663635
931841523837
1011212122013
114833a50244
12220ab00651
131098b67331
1478512a421
154594e035d
hex29c4b679d

11212122013 has 12 divisors (see below), whose sum is σ = 12295157940. Its totient is φ = 10188690176.

The previous prime is 11212122007. The next prime is 11212122023. The reversal of 11212122013 is 31022121211.

It can be written as a sum of positive squares in 6 ways, for example, as 107599129 + 11104522884 = 10373^2 + 105378^2 .

It is not a de Polignac number, because 11212122013 - 225 = 11178567581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377818 + ... + 406411.

It is an arithmetic number, because the mean of its divisors is an integer number (1024596495).

Almost surely, 211212122013 is an apocalyptic number.

It is an amenable number.

11212122013 is a deficient number, since it is larger than the sum of its proper divisors (1083035927).

11212122013 is an equidigital number, since it uses as much as digits as its factorization.

11212122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784304 (or 784275 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11212122013 its reverse (31022121211), we get a palindrome (42234243224).

It can be divided in two parts, 11212 and 122013, that added together give a square (133225 = 3652).

The spelling of 11212122013 in words is "eleven billion, two hundred twelve million, one hundred twenty-two thousand, thirteen".

Divisors: 1 17 29 493 841 14297 784229 13331893 22742641 386624897 659536589 11212122013