Search a number
-
+
1121014200 = 233523735009
BaseRepresentation
bin100001011010001…
…0101000110111000
32220010101102101110
41002310111012320
54243434423300
6303123120320
736531314655
oct10264250670
92803342343
101121014200
11525868619
122735130a0
1314b32a917
14a8c4cc2c
1568637550
hex42d151b8

1121014200 has 96 divisors (see below), whose sum is σ = 3485156400. Its totient is φ = 298076160.

The previous prime is 1121014129. The next prime is 1121014217. The reversal of 1121014200 is 24101211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 221296 + ... + 226304.

Almost surely, 21121014200 is an apocalyptic number.

1121014200 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 1121014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742578200).

1121014200 is an abundant number, since it is smaller than the sum of its proper divisors (2364142200).

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

1121014200 is a wasteful number, since it uses less digits than its factorization.

1121014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1121014200 is about 33481.5501433252. The cubic root of 1121014200 is about 1038.8121917233.

Adding to 1121014200 its reverse (24101211), we get a palindrome (1145115411).

The spelling of 1121014200 in words is "one billion, one hundred twenty-one million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 373 600 746 1119 1492 1865 2238 2984 3730 4476 5009 5595 7460 8952 9325 10018 11190 14920 15027 18650 20036 22380 25045 27975 30054 37300 40072 44760 50090 55950 60108 74600 75135 100180 111900 120216 125225 150270 200360 223800 250450 300540 375675 500900 601080 751350 1001800 1502700 1868357 3005400 3736714 5605071 7473428 9341785 11210142 14946856 18683570 22420284 28025355 37367140 44840568 46708925 56050710 74734280 93417850 112101420 140126775 186835700 224202840 280253550 373671400 560507100 1121014200