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11131112421 = 351113320329
BaseRepresentation
bin10100101110111011…
…10100101111100101
31001201202011002200000
422113131310233211
5140244031044141
65040310211513
7542560615542
oct122735645745
931652132600
1011131112421
1147a224a570
1221a7953b99
131085142570
1477847dbc9
1545233c5b6
hex297774be5

11131112421 has 48 divisors (see below), whose sum is σ = 19588820160. Its totient is φ = 6227176320.

The previous prime is 11131112387. The next prime is 11131112429. The reversal of 11131112421 is 12421113111.

11131112421 is a `hidden beast` number, since 1 + 1 + 131 + 112 + 421 = 666.

It is not a de Polignac number, because 11131112421 - 211 = 11131110373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131112394 and 11131112403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131112429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125416 + ... + 194913.

It is an arithmetic number, because the mean of its divisors is an integer number (408100420).

Almost surely, 211131112421 is an apocalyptic number.

11131112421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11131112421 is a deficient number, since it is larger than the sum of its proper divisors (8457707739).

11131112421 is a wasteful number, since it uses less digits than its factorization.

11131112421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320368 (or 320356 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 11131112421 its reverse (12421113111), we get a palindrome (23552225532).

The spelling of 11131112421 in words is "eleven billion, one hundred thirty-one million, one hundred twelve thousand, four hundred twenty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 243 297 351 429 891 1053 1287 2673 3159 3861 11583 34749 320329 960987 2882961 3523619 4164277 8648883 10570857 12492831 25946649 31712571 37478493 45807047 77839947 95137713 112435479 137421141 285413139 337306437 412263423 856239417 1011919311 1236790269 3710370807 11131112421