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11131212013 = 2911325713217
BaseRepresentation
bin10100101110111100…
…01101000011101101
31001201202100011021121
422113132031003231
5140244042241023
65040312300541
7542561512105
oct122736150355
931652304247
1011131212013
1147a2308379
1221a79a1751
1310851789ac
147784a8205
1545235bd5d
hex29778d0ed

11131212013 has 16 divisors (see below), whose sum is σ = 11663034480. Its totient is φ = 10610016256.

The previous prime is 11131211989. The next prime is 11131212019. The reversal of 11131212013 is 31021213111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10876804 + 11120335209 = 3298^2 + 105453^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131212013 - 25 = 11131211981 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 (11131212019) 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 15 ways as a sum of consecutive naturals, for example, 835581 + ... + 848797.

It is an arithmetic number, because the mean of its divisors is an integer number (728939655).

Almost surely, 211131212013 is an apocalyptic number.

It is an amenable number.

11131212013 is a deficient number, since it is larger than the sum of its proper divisors (531822467).

11131212013 is a wasteful number, since it uses less digits than its factorization.

11131212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11131212013 its reverse (31021213111), we get a palindrome (42152425124).

The spelling of 11131212013 in words is "eleven billion, one hundred thirty-one million, two hundred twelve thousand, thirteen".

Divisors: 1 29 113 257 3277 7453 13217 29041 383293 842189 1493521 3396769 43312109 98506301 383834897 11131212013