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1121012200 = 2352721110399
BaseRepresentation
bin100001011010001…
…0100100111101000
32220010101022122101
41002310110213220
54243434342300
6303123103144
736531306100
oct10264244750
92803338571
101121012200
11525867070
12273511ab4
1314b329a39
14a8c4c200
1568636b6a
hex42d149e8

1121012200 has 144 divisors (see below), whose sum is σ = 3307824000. Its totient is φ = 349372800.

The previous prime is 1121012161. The next prime is 1121012237. The reversal of 1121012200 is 22101211.

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

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 35 ways as a sum of consecutive naturals, for example, 102601 + ... + 112999.

It is an arithmetic number, because the mean of its divisors is an integer number (22971000).

Almost surely, 21121012200 is an apocalyptic number.

1121012200 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 1121012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653912000).

1121012200 is an abundant number, since it is smaller than the sum of its proper divisors (2186811800).

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

1121012200 is a wasteful number, since it uses less digits than its factorization.

1121012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10440 (or 10424 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1121012200 is about 33481.5202761165. The cubic root of 1121012200 is about 1038.8115739418.

Adding to 1121012200 its reverse (22101211), we get a palindrome (1143113411).

The spelling of 1121012200 in words is "one billion, one hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 140 154 175 196 200 220 245 275 280 308 350 385 392 440 490 539 550 616 700 770 980 1078 1100 1225 1400 1540 1925 1960 2156 2200 2450 2695 3080 3850 4312 4900 5390 7700 9800 10399 10780 13475 15400 20798 21560 26950 41596 51995 53900 72793 83192 103990 107800 114389 145586 207980 228778 259975 291172 363965 415960 457556 509551 519950 571945 582344 727930 800723 915112 1019102 1039900 1143890 1455860 1601446 1819825 2038204 2079800 2287780 2547755 2859725 2911720 3202892 3639650 4003615 4076408 4575560 5095510 5605061 5719450 6405784 7279300 8007230 10191020 11210122 11438900 12738775 14558600 16014460 20018075 20382040 22420244 22877800 25477550 28025305 32028920 40036150 44840488 50955100 56050610 80072300 101910200 112101220 140126525 160144600 224202440 280253050 560506100 1121012200