Search a number
-
+
11121113010 = 235731995431
BaseRepresentation
bin10100101101101111…
…01011011110110010
31001201001100002001110
422112313223132302
5140234001104020
65035312014150
7542406621000
oct122667533662
931631302043
1011121113010
11479763a897
1221a4531356
131083051057
14776dd9a70
154515148e0
hex296deb7b2

11121113010 has 128 divisors (see below), whose sum is σ = 31288320000. Its totient is φ = 2528729280.

The previous prime is 11121113009. The next prime is 11121113021. The reversal of 11121113010 is 1031112111.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2044995 + ... + 2050425.

It is an arithmetic number, because the mean of its divisors is an integer number (244440000).

Almost surely, 211121113010 is an apocalyptic number.

11121113010 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 11121113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644160000).

11121113010 is an abundant number, since it is smaller than the sum of its proper divisors (20167206990).

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

11121113010 is a wasteful number, since it uses less digits than its factorization.

11121113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11121113010 its reverse (1031112111), we get a palindrome (12152225121).

The spelling of 11121113010 in words is "eleven billion, one hundred twenty-one million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 199 210 245 294 343 398 490 597 686 735 995 1029 1194 1393 1470 1715 1990 2058 2786 2985 3430 4179 5145 5431 5970 6965 8358 9751 10290 10862 13930 16293 19502 20895 27155 29253 32586 38017 41790 48755 54310 58506 68257 76034 81465 97510 114051 136514 146265 162930 190085 204771 228102 266119 292530 341285 380170 409542 532238 570255 682570 798357 1023855 1080769 1140510 1330595 1596714 1862833 2047710 2161538 2661190 3242307 3725666 3991785 5403845 5588499 6484614 7565383 7983570 9314165 10807690 11176998 15130766 16211535 18628330 22696149 27942495 32423070 37826915 45392298 52957681 55884990 75653830 105915362 113480745 158873043 226961490 264788405 317746086 370703767 529576810 741407534 794365215 1112111301 1588730430 1853518835 2224222602 3707037670 5560556505 11121113010