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11121012013 = 31211572333
BaseRepresentation
bin10100101101101110…
…10010110100101101
31001201001010221111211
422112313102310231
5140233434341023
65035305514421
7542406020356
oct122667226455
931631127454
1011121012013
114797580a21
1221a44a2a11
1310830170a7
14776db0d2d
154514e4a0d
hex296dd2d2d

11121012013 has 6 divisors (see below), whose sum is σ = 11491327662. Its totient is φ = 10762268760.

The previous prime is 11121011983. The next prime is 11121012079. The reversal of 11121012013 is 31021012111.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9730244164 + 1390767849 = 98642^2 + 37293^2 .

It is not a de Polignac number, because 11121012013 - 25 = 11121011981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121011984 and 11121012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121015013) 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 5 ways as a sum of consecutive naturals, for example, 5785206 + ... + 5787127.

It is an arithmetic number, because the mean of its divisors is an integer number (1915221277).

Almost surely, 211121012013 is an apocalyptic number.

It is an amenable number.

11121012013 is a deficient number, since it is larger than the sum of its proper divisors (370315649).

11121012013 is an equidigital number, since it uses as much as digits as its factorization.

11121012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572395 (or 11572364 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11121012013 its reverse (31021012111), we get a palindrome (42142024124).

The spelling of 11121012013 in words is "eleven billion, one hundred twenty-one million, twelve thousand, thirteen".

Divisors: 1 31 961 11572333 358742323 11121012013