Search a number
-
+
11011220000 = 25541150051
BaseRepresentation
bin10100100000101000…
…11110001000100000
31001102101112221011222
422100110132020200
5140022333020000
65020344354212
7536603553134
oct122024361040
931371487158
1011011220000
114740601620
122173775968
1310663555c1
147665913c4
15446a58a85
hex29051e220

11011220000 has 120 divisors (see below), whose sum is σ = 29552502672. Its totient is φ = 4004000000.

The previous prime is 11011219987. The next prime is 11011220023. The reversal of 11011220000 is 2211011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11011220000.

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 19 ways as a sum of consecutive naturals, for example, 194975 + ... + 245025.

Almost surely, 211011220000 is an apocalyptic number.

11011220000 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 11011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776251336).

11011220000 is an abundant number, since it is smaller than the sum of its proper divisors (18541282672).

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

11011220000 is an equidigital number, since it uses as much as digits as its factorization.

11011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50092 (or 50069 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11011220000 its reverse (2211011), we get a palindrome (11013431011).

The spelling of 11011220000 in words is "eleven billion, eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 50051 55000 100102 110000 200204 220000 250255 400408 500510 550561 800816 1001020 1101122 1251275 1601632 2002040 2202244 2502550 2752805 4004080 4404488 5005100 5505610 6256375 8008160 8808976 10010200 11011220 12512750 13764025 17617952 20020400 22022440 25025500 27528050 31281875 40040800 44044880 50051000 55056100 62563750 68820125 88089760 100102000 110112200 125127500 137640250 200204000 220224400 250255000 275280500 344100625 440448800 500510000 550561000 688201250 1001020000 1101122000 1376402500 2202244000 2752805000 5505610000 11011220000