Search a number
-
+
11122100000 = 25551110111
BaseRepresentation
bin10100101101110110…
…11100011100100000
31001201010012012221122
422112323130130200
5140234224200000
65035345111412
7542421201344
oct122673343440
931633165848
1011122100000
114798154390
1221a4928568
13108330837b
147771b5624
1545165c085
hex296edc720

11122100000 has 144 divisors (see below), whose sum is σ = 29860088832. Its totient is φ = 4044000000.

The previous prime is 11122099999. The next prime is 11122100029. The reversal of 11122100000 is 122111.

11122100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111221000002 (a number of 21 digits) contains 22 as substring.

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

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, 1094945 + ... + 1105055.

It is an arithmetic number, because the mean of its divisors is an integer number (207361728).

Almost surely, 211122100000 is an apocalyptic number.

11122100000 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 11122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14930044416).

11122100000 is an abundant number, since it is smaller than the sum of its proper divisors (18737988832).

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

11122100000 is an equidigital number, since it uses as much as digits as its factorization.

11122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157 (or 10129 counting only the distinct ones).

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

Adding to 11122100000 its reverse (122111), we get a palindrome (11122222111).

The spelling of 11122100000 in words is "eleven billion, one hundred twenty-two million, one hundred 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 3125 4000 4400 5000 5500 6250 6875 8800 10000 10111 11000 12500 13750 20000 20222 22000 25000 27500 34375 40444 44000 50000 50555 55000 68750 80888 100000 101110 110000 111221 137500 161776 202220 220000 222442 252775 275000 323552 404440 444884 505550 550000 556105 808880 889768 1011100 1100000 1112210 1263875 1617760 1779536 2022200 2224420 2527750 2780525 3559072 4044400 4448840 5055500 5561050 6319375 8088800 8897680 10111000 11122100 12638750 13902625 17795360 20222000 22244200 25277500 27805250 31596875 40444000 44488400 50555000 55610500 63193750 69513125 88976800 101110000 111221000 126387500 139026250 202220000 222442000 252775000 278052500 347565625 444884000 505550000 556105000 695131250 1011100000 1112210000 1390262500 2224420000 2780525000 5561050000 11122100000