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1161106050 = 2352132163281
BaseRepresentation
bin100010100110101…
…0001001010000010
32222220211022001210
41011031101022002
54334220343200
6311114310550
740526144556
oct10515211202
92886738053
101161106050
11546461185
12284a28456
13156727200
14b02c7866
156be06650
hex45351282

1161106050 has 144 divisors (see below), whose sum is σ = 3148378848. Its totient is φ = 283046400.

The previous prime is 1161106043. The next prime is 1161106061. The reversal of 1161106050 is 506011611.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4131910 + ... + 4132190.

It is an arithmetic number, because the mean of its divisors is an integer number (21863742).

Almost surely, 21161106050 is an apocalyptic number.

1161106050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161106050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574189424).

1161106050 is an abundant number, since it is smaller than the sum of its proper divisors (1987272798).

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

1161106050 is a wasteful number, since it uses less digits than its factorization.

1161106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1161106050 is about 34075.0062362430. The cubic root of 1161106050 is about 1051.0514184651.

Adding to 1161106050 its reverse (506011611), we get a palindrome (1667117661).

The spelling of 1161106050 in words is "one billion, one hundred sixty-one million, one hundred six thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 163 169 195 281 325 326 338 390 489 507 562 650 815 843 845 975 978 1014 1405 1630 1686 1690 1950 2119 2445 2535 2810 3653 4075 4215 4225 4238 4890 5070 6357 7025 7306 8150 8430 8450 10595 10959 12225 12675 12714 14050 18265 21075 21190 21918 24450 25350 27547 31785 36530 42150 45803 47489 52975 54795 55094 63570 82641 91325 91606 94978 105950 109590 137409 137735 142467 158925 165282 182650 229015 237445 273975 274818 275470 284934 317850 413205 458030 474890 547950 595439 687045 688675 712335 826410 1145075 1187225 1190878 1374090 1377350 1424670 1786317 2066025 2290150 2374450 2977195 3435225 3561675 3572634 4132050 5954390 6870450 7123350 7740707 8931585 14885975 15481414 17863170 23222121 29771950 38703535 44657925 46444242 77407070 89315850 116110605 193517675 232221210 387035350 580553025 1161106050