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11055003435 = 3257229172883
BaseRepresentation
bin10100100101110110…
…11111011100101011
31001112102221100202200
422102323133130223
5140120040102220
65024551031243
7540644656500
oct122273373453
931472840680
1011055003435
114763296783
12218636b523
131072445268
1476c30b4a7
1544a806890
hex292edf72b

11055003435 has 72 divisors (see below), whose sum is σ = 23059267920. Its totient is φ = 4879421568.

The previous prime is 11055003373. The next prime is 11055003437. The reversal of 11055003435 is 53430055011.

11055003435 is a `hidden beast` number, since 110 + 5 + 500 + 3 + 43 + 5 = 666.

It is not a de Polignac number, because 11055003435 - 214 = 11054987051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11055003399 and 11055003408.

It is not an unprimeable number, because it can be changed into a prime (11055003437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22497 + ... + 150386.

It is an arithmetic number, because the mean of its divisors is an integer number (320267610).

Almost surely, 211055003435 is an apocalyptic number.

11055003435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11055003435 is an abundant number, since it is smaller than the sum of its proper divisors (12004264485).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11055003435 is a wasteful number, since it uses less digits than its factorization.

11055003435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172937 (or 172927 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 11055003435 its reverse (53430055011), we get a palindrome (64485058446).

The spelling of 11055003435 in words is "eleven billion, fifty-five million, three thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 49 63 87 105 145 147 203 245 261 315 435 441 609 735 1015 1305 1421 1827 2205 3045 4263 7105 9135 12789 21315 63945 172883 518649 864415 1210181 1555947 2593245 3630543 5013607 6050905 7779735 8471267 10891629 15040821 18152715 25068035 25413801 35095249 42356335 45122463 54458145 75204105 76241403 105285747 127069005 175476245 225612315 245666743 315857241 381207015 526428735 737000229 1228333715 1579286205 2211000687 3685001145 11055003435