Search a number
-
+
1112111200 = 255273137139
BaseRepresentation
bin100001001001001…
…0111100001100000
32212111122002202201
41002102113201200
54234200024300
6302204222544
736362534464
oct10222274140
92774562681
101112111200
11520837672
1227053aa54
13149531485
14a79b24a4
156797966a
hex42497860

1112111200 has 144 divisors (see below), whose sum is σ = 2792165040. Its totient is φ = 432414720.

The previous prime is 1112111197. The next prime is 1112111201. The reversal of 1112111200 is 21112111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112111201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8000731 + ... + 8000869.

It is an arithmetic number, because the mean of its divisors is an integer number (19390035).

Almost surely, 21112111200 is an apocalyptic number.

1112111200 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 1112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396082520).

1112111200 is an abundant number, since it is smaller than the sum of its proper divisors (1680053840).

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

1112111200 is a wasteful number, since it uses less digits than its factorization.

1112111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1112111200 is about 33348.3312925849. The cubic root of 1112111200 is about 1036.0548263348.

Adding to 1112111200 its reverse (21112111), we get a palindrome (1133223311).

It can be divided in two parts, 1112 and 111200, that multiplied together give a square (123654400 = 111202).

The spelling of 1112111200 in words is "one billion, one hundred twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 137 139 146 160 200 274 278 292 365 400 548 556 584 685 695 730 800 1096 1112 1168 1370 1390 1460 1825 2192 2224 2336 2740 2780 2920 3425 3475 3650 4384 4448 5480 5560 5840 6850 6950 7300 10001 10147 10960 11120 11680 13700 13900 14600 19043 20002 20294 21920 22240 27400 27800 29200 38086 40004 40588 50005 50735 54800 55600 58400 76172 80008 81176 95215 100010 101470 109600 111200 152344 160016 162352 190430 200020 202940 250025 253675 304688 320032 324704 380860 400040 405880 476075 500050 507350 609376 761720 800080 811760 952150 1000100 1014700 1390139 1523440 1600160 1623520 1904300 2000200 2029400 2780278 3046880 3808600 4000400 4058800 5560556 6950695 7617200 8000800 8117600 11121112 13901390 15234400 22242224 27802780 34753475 44484448 55605560 69506950 111211120 139013900 222422240 278027800 556055600 1112111200