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11200230120 = 2335711976673
BaseRepresentation
bin10100110111001010…
…11111001011101000
31001220120012122022210
422123211133023220
5140414224330440
65051215445120
7544360246062
oct123345371350
931816178283
1011200230120
114828268732
122206b267a0
131096562601
14783712732
15458441a80
hex29b95f2e8

11200230120 has 128 divisors (see below), whose sum is σ = 34252035840. Its totient is φ = 2929274880.

The previous prime is 11200230113. The next prime is 11200230137. The reversal of 11200230120 is 2103200211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11200230096 and 11200230105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675104 + ... + 1681776.

It is an arithmetic number, because the mean of its divisors is an integer number (267594030).

Almost surely, 211200230120 is an apocalyptic number.

11200230120 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 11200230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126017920).

11200230120 is an abundant number, since it is smaller than the sum of its proper divisors (23051805720).

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

11200230120 is a wasteful number, since it uses less digits than its factorization.

11200230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11200230120 its reverse (2103200211), we get a palindrome (13303430331).

The spelling of 11200230120 in words is "eleven billion, two hundred million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 197 213 284 355 394 426 568 591 710 788 852 985 1065 1182 1420 1576 1704 1970 2130 2364 2840 2955 3940 4260 4728 5910 6673 7880 8520 11820 13346 13987 20019 23640 26692 27974 33365 40038 41961 53384 55948 66730 69935 80076 83922 100095 111896 133460 139870 160152 167844 200190 209805 266920 279740 335688 400380 419610 473783 559480 800760 839220 947566 1314581 1421349 1678440 1895132 2368915 2629162 2842698 3790264 3943743 4737830 5258324 5685396 6572905 7106745 7887486 9475660 10516648 11370792 13145810 14213490 15774972 18951320 19718715 26291620 28426980 31549944 39437430 52583240 56853960 78874860 93335251 157749720 186670502 280005753 373341004 466676255 560011506 746682008 933352510 1120023012 1400028765 1866705020 2240046024 2800057530 3733410040 5600115060 11200230120