Search a number
-
+
1112031200 = 255271711681
BaseRepresentation
bin100001001001000…
…0011111111100000
32212111111001000202
41002102003333200
54234134444300
6302202404332
736362052320
oct10222037740
92774431022
101112031200
11520792555
122705006a8
13149503c37
14a7991280
1567960ad5
hex42483fe0

1112031200 has 144 divisors (see below), whose sum is σ = 3285352224. Its totient is φ = 358809600.

The previous prime is 1112031169. The next prime is 1112031203. The reversal of 1112031200 is 21302111.

It is a super-2 number, since 2×11120312002 = 2473226779546880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112031203) by changing a digit.

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, 89360 + ... + 101040.

It is an arithmetic number, because the mean of its divisors is an integer number (22814946).

Almost surely, 21112031200 is an apocalyptic number.

1112031200 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 1112031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642676112).

1112031200 is an abundant number, since it is smaller than the sum of its proper divisors (2173321024).

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

1112031200 is a wasteful number, since it uses less digits than its factorization.

1112031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1112031200 is about 33347.1318106970. The cubic root of 1112031200 is about 1036.0299827839.

Adding to 1112031200 its reverse (21302111), we get a palindrome (1133333311).

The spelling of 1112031200 in words is "one billion, one hundred twelve million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 340 350 400 425 476 544 560 595 680 700 800 850 952 1120 1190 1360 1400 1700 1904 2380 2720 2800 2975 3400 3808 4760 5600 5950 6800 9520 11681 11900 13600 19040 23362 23800 46724 47600 58405 81767 93448 95200 116810 163534 186896 198577 233620 292025 327068 373792 397154 408835 467240 584050 654136 794308 817670 934480 992885 1168100 1308272 1390039 1588616 1635340 1868960 1985770 2044175 2336200 2616544 2780078 3177232 3270680 3971540 4088350 4672400 4964425 5560156 6354464 6541360 6950195 7943080 8176700 9344800 9928850 11120312 13082720 13900390 15886160 16353400 19857700 22240624 27800780 31772320 32706800 34750975 39715400 44481248 55601560 65413600 69501950 79430800 111203120 139003900 158861600 222406240 278007800 556015600 1112031200