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1001112200 = 2352111134027
BaseRepresentation
bin111011101010111…
…100001010001000
32120202202202202122
4323222330022020
54022241042300
6243201150412
733544212314
oct7352741210
92522682678
101001112200
11474113460
1223b32b408
1312c5394aa
1496d5ab44
155cd50c85
hex3babc288

1001112200 has 96 divisors (see below), whose sum is σ = 2562291360. Its totient is φ = 360729600.

The previous prime is 1001112199. The next prime is 1001112209. The reversal of 1001112200 is 22111001.

1001112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1001112209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246587 + ... + 250613.

It is an arithmetic number, because the mean of its divisors is an integer number (26690535).

Almost surely, 21001112200 is an apocalyptic number.

1001112200 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 1001112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281145680).

1001112200 is an abundant number, since it is smaller than the sum of its proper divisors (1561179160).

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

1001112200 is a wasteful number, since it uses less digits than its factorization.

1001112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4158 counting only the distinct ones).

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

The square root of 1001112200 is about 31640.3571408415. The cubic root of 1001112200 is about 1000.3705959750.

Adding to 1001112200 its reverse (22111001), we get a palindrome (1023223201).

The spelling of 1001112200 in words is "one billion, one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 113 200 220 226 275 440 452 550 565 904 1100 1130 1243 2200 2260 2486 2825 4027 4520 4972 5650 6215 8054 9944 11300 12430 16108 20135 22600 24860 31075 32216 40270 44297 49720 62150 80540 88594 100675 124300 161080 177188 201350 221485 248600 354376 402700 442970 455051 805400 885940 910102 1107425 1771880 1820204 2214850 2275255 3640408 4429700 4550510 5005561 8859400 9101020 10011122 11376275 18202040 20022244 22752550 25027805 40044488 45505100 50055610 91010200 100111220 125139025 200222440 250278050 500556100 1001112200