Search a number
-
+
11103013120 = 28512916719
BaseRepresentation
bin10100101011100101…
…01000100100000000
31001122210021111200011
422111302220210000
5140214332404440
65033424034304
7542100024433
oct122562504400
931583244604
1011103013120
1147883a8101
12219a462994
13107c384764
1477484781a
1544eb3b9ea
hex295ca8900

11103013120 has 72 divisors (see below), whose sum is σ = 26619747840. Its totient is φ = 4437104640.

The previous prime is 11103013091. The next prime is 11103013121. The reversal of 11103013120 is 2131030111.

It is a self number, because there is not a number n which added to its sum of digits gives 11103013120.

It is not an unprimeable number, because it can be changed into a prime (11103013121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1649121 + ... + 1655839.

It is an arithmetic number, because the mean of its divisors is an integer number (369718720).

Almost surely, 211103013120 is an apocalyptic number.

11103013120 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 11103013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309873920).

11103013120 is an abundant number, since it is smaller than the sum of its proper divisors (15516734720).

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

11103013120 is an equidigital number, since it uses as much as digits as its factorization.

11103013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8031 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11103013120 its reverse (2131030111), we get a palindrome (13234043231).

The spelling of 11103013120 in words is "eleven billion, one hundred three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1291 2582 5164 6455 6719 10328 12910 13438 20656 25820 26876 33595 41312 51640 53752 67190 82624 103280 107504 134380 165248 206560 215008 268760 330496 413120 430016 537520 826240 860032 1075040 1652480 1720064 2150080 4300160 8600320 8674229 17348458 34696916 43371145 69393832 86742290 138787664 173484580 277575328 346969160 555150656 693938320 1110301312 1387876640 2220602624 2775753280 5551506560 11103013120