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11305500320 = 255474213571
BaseRepresentation
bin10101000011101110…
…00011111010100000
31002011220021220220002
422201313003322200
5141123202002240
65105500035132
7550106111222
oct124167037240
932156256802
1011305500320
1148817297a4
122236232aa8
1310b22ccb7a
147936b6412
154627d7d15
hex2a1dc3ea0

11305500320 has 96 divisors (see below), whose sum is σ = 27349975296. Its totient is φ = 4414233600.

The previous prime is 11305500233. The next prime is 11305500343. The reversal of 11305500320 is 2300550311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11305500292 and 11305500301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3164135 + ... + 3167705.

It is an arithmetic number, because the mean of its divisors is an integer number (284895576).

Almost surely, 211305500320 is an apocalyptic number.

11305500320 is a gapful number since it is divisible by the number (10) 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 11305500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674987648).

11305500320 is an abundant number, since it is smaller than the sum of its proper divisors (16044474976).

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

11305500320 is a wasteful number, since it uses less digits than its factorization.

11305500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The spelling of 11305500320 in words is "eleven billion, three hundred five million, five hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 421 470 752 842 940 1504 1684 1880 2105 3368 3571 3760 4210 6736 7142 7520 8420 13472 14284 16840 17855 19787 28568 33680 35710 39574 57136 67360 71420 79148 98935 114272 142840 158296 167837 197870 285680 316592 335674 395740 571360 633184 671348 791480 839185 1342696 1503391 1582960 1678370 2685392 3006782 3165920 3356740 5370784 6013564 6713480 7516955 12027128 13426960 15033910 24054256 26853920 30067820 48108512 60135640 70659377 120271280 141318754 240542560 282637508 353296885 565275016 706593770 1130550032 1413187540 2261100064 2826375080 5652750160 11305500320