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11131120341 = 3211195917661
BaseRepresentation
bin10100101110111011…
…10110101011010101
31001201202011111112100
422113131312223111
5140244031322331
65040310312313
7542560650615
oct122735665325
931652144470
1011131120341
1147a2255510
1221a7958699
131085146053
14778482a45
1545233eae6
hex297776ad5

11131120341 has 24 divisors (see below), whose sum is σ = 18463105440. Its totient is φ = 6391072800.

The previous prime is 11131120339. The next prime is 11131120387. The reversal of 11131120341 is 14302113111.

It is a happy number.

11131120341 is a `hidden beast` number, since 1 + 11 + 311 + 2 + 0 + 341 = 666.

It is not a de Polignac number, because 11131120341 - 21 = 11131120339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131120321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2956950 + ... + 2960711.

It is an arithmetic number, because the mean of its divisors is an integer number (769296060).

Almost surely, 211131120341 is an apocalyptic number.

11131120341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11131120341 is a deficient number, since it is larger than the sum of its proper divisors (7331985099).

11131120341 is a wasteful number, since it uses less digits than its factorization.

11131120341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917697 (or 5917694 counting only the distinct ones).

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

Adding to 11131120341 its reverse (14302113111), we get a palindrome (25433233452).

The spelling of 11131120341 in words is "eleven billion, one hundred thirty-one million, one hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 5917661 17752983 53258949 65094271 112435559 195282813 337306677 585848439 1011920031 1236791149 3710373447 11131120341