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1103053248 = 26331158031
BaseRepresentation
bin100000110111111…
…0100000111000000
32211212120220121000
41001233310013000
54224340200443
6301242132000
736222540453
oct10157640700
92755526530
101103053248
11516710260
122694b1000
131476ac63b
14a66d549a
1566c8a8d3
hex41bf41c0

1103053248 has 112 divisors (see below), whose sum is σ = 3537630720. Its totient is φ = 334252800.

The previous prime is 1103053241. The next prime is 1103053249. The reversal of 1103053248 is 8423503011.

It is a happy number.

1103053248 is a `hidden beast` number, since 110 + 305 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103053241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10008 + ... + 48023.

Almost surely, 21103053248 is an apocalyptic number.

1103053248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768815360).

1103053248 is an abundant number, since it is smaller than the sum of its proper divisors (2434577472).

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

1103053248 is a wasteful number, since it uses less digits than its factorization.

1103053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58063 (or 58047 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1103053248 is about 33212.2454525436. The cubic root of 1103053248 is about 1033.2343262292.

Adding to 1103053248 its reverse (8423503011), we get a palindrome (9526556259).

The spelling of 1103053248 in words is "one billion, one hundred three million, fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 58031 116062 174093 232124 348186 464248 522279 638341 696372 928496 1044558 1276682 1392744 1566837 1856992 1915023 2089116 2553364 2785488 3133674 3713984 3830046 4178232 5106728 5570976 5745069 6267348 7660092 8356464 10213456 11141952 11490138 12534696 15320184 16712928 17235207 20426912 22980276 25069392 30640368 33425856 34470414 40853824 45960552 50138784 61280736 68940828 91921104 100277568 122561472 137881656 183842208 275763312 367684416 551526624 1103053248