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11134403631 = 3213277343559
BaseRepresentation
bin10100101111010100…
…11000010000101111
31001201222100022100200
422113222120100233
5140300401404011
65040504524543
7542630604111
oct122752302057
931658308320
1011134403631
1147a409827a
1221a8a80753
131085a25620
14778a993b1
1545278c856
hex297a9842f

11134403631 has 24 divisors (see below), whose sum is σ = 17382761760. Its totient is φ = 6827184576.

The previous prime is 11134403561. The next prime is 11134403633. The reversal of 11134403631 is 13630443111.

11134403631 is a `hidden beast` number, since 11 + 13 + 4 + 4 + 0 + 3 + 631 = 666.

11134403631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11134403631 is a prime.

It is a super-2 number, since 2×111344036312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11134403595 and 11134403604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134403633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139371 + ... + 204188.

It is an arithmetic number, because the mean of its divisors is an integer number (724281740).

Almost surely, 211134403631 is an apocalyptic number.

11134403631 is a deficient number, since it is larger than the sum of its proper divisors (6248358129).

11134403631 is a wasteful number, since it uses less digits than its factorization.

11134403631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343855 (or 343852 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11134403631 its reverse (13630443111), we get a palindrome (24764846742).

The spelling of 11134403631 in words is "eleven billion, one hundred thirty-four million, four hundred three thousand, six hundred thirty-one".

Divisors: 1 3 9 13 39 117 277 831 2493 3601 10803 32409 343559 1030677 3092031 4466267 13398801 40196403 95165843 285497529 856492587 1237155959 3711467877 11134403631