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11155132240 = 245724366179
BaseRepresentation
bin10100110001110010…
…11100111101010000
31001210102100102122221
422120321130331100
5140321203212430
65042525110424
7543302026300
oct123071347520
931712312587
1011155132240
114804865a5a
1221b39b8414
13108a102585
1477b733600
154544d457a
hex298e5cf50

11155132240 has 120 divisors (see below), whose sum is σ = 30872175840. Its totient is φ = 3735615744.

The previous prime is 11155132223. The next prime is 11155132253. The reversal of 11155132240 is 4223155111.

11155132240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135471 + ... + 201649.

It is an arithmetic number, because the mean of its divisors is an integer number (257268132).

Almost surely, 211155132240 is an apocalyptic number.

11155132240 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 11155132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436087920).

11155132240 is an abundant number, since it is smaller than the sum of its proper divisors (19717043600).

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

11155132240 is a wasteful number, since it uses less digits than its factorization.

11155132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66249 (or 66236 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 11155132240 its reverse (4223155111), we get a palindrome (15378287351).

The spelling of 11155132240 in words is "eleven billion, one hundred fifty-five million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 49 56 70 80 86 98 112 140 172 196 215 245 280 301 344 392 430 490 560 602 688 784 860 980 1204 1505 1720 1960 2107 2408 3010 3440 3920 4214 4816 6020 8428 10535 12040 16856 21070 24080 33712 42140 66179 84280 132358 168560 264716 330895 463253 529432 661790 926506 1058864 1323580 1853012 2316265 2647160 2845697 3242771 3706024 4632530 5294320 5691394 6485542 7412048 9265060 11382788 12971084 14228485 16213855 18530120 19919879 22765576 25942168 28456970 32427710 37060240 39839758 45531152 51884336 56913940 64855420 79679516 99599395 113827880 129710840 139439153 159359032 199198790 227655760 259421680 278878306 318718064 398397580 557756612 697195765 796795160 1115513224 1394391530 1593590320 2231026448 2788783060 5577566120 11155132240