Search a number
-
+
1111240220 = 2254159103223
BaseRepresentation
bin100001000111100…
…0010111000011100
32212102222212000012
41002033002320130
54233434141340
6302133422352
736352246256
oct10217027034
92772885005
101111240220
115202a2252
1227019a9b8
131492b7bbc
14a7826cd6
1567856565
hex423c2e1c

1111240220 has 96 divisors (see below), whose sum is σ = 2465648640. Its totient is φ = 420272640.

The previous prime is 1111240201. The next prime is 1111240231. The reversal of 1111240220 is 220421111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1111240195 and 1111240204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4983029 + ... + 4983251.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 21111240220 is an apocalyptic number.

1111240220 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 1111240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

1111240220 is an abundant number, since it is smaller than the sum of its proper divisors (1354408420).

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

1111240220 is a wasteful number, since it uses less digits than its factorization.

1111240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1111240220 is about 33335.2699104117. The cubic root of 1111240220 is about 1035.7842842312.

Adding to 1111240220 its reverse (220421111), we get a palindrome (1331661331).

The spelling of 1111240220 in words is "one billion, one hundred eleven million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 59 82 103 118 164 205 206 223 236 295 410 412 446 515 590 820 892 1030 1115 1180 2060 2230 2419 4223 4460 4838 6077 8446 9143 9676 12095 12154 13157 16892 18286 21115 22969 24190 24308 26314 30385 36572 42230 45715 45938 48380 52628 60770 65785 84460 91430 91876 114845 121540 131570 182860 229690 249157 263140 459380 498314 539437 941729 996628 1078874 1245785 1355171 1883458 2157748 2491570 2697185 2710342 3766916 4708645 4983140 5394370 5420684 6775855 9417290 10788740 13551710 18834580 27103420 55562011 111124022 222248044 277810055 555620110 1111240220