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1100110050 = 2325213383491
BaseRepresentation
bin100000110010010…
…0101100011100010
32211200001101021200
41001210211203202
54223112010200
6301055102030
736155531634
oct10144454342
92750041250
101100110050
11514a8aa66
12268511916
13146bbbac0
14a616aa54
15668a8800
hex419258e2

1100110050 has 144 divisors (see below), whose sum is σ = 3197795328. Its totient is φ = 269539200.

The previous prime is 1100110049. The next prime is 1100110057. The reversal of 1100110050 is 500110011.

It is a super-2 number, since 2×11001100502 = 2420484244222005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1100110057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2240305 + ... + 2240795.

It is an arithmetic number, because the mean of its divisors is an integer number (22206912).

Almost surely, 21100110050 is an apocalyptic number.

1100110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100110050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598897664).

1100110050 is an abundant number, since it is smaller than the sum of its proper divisors (2097685278).

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

1100110050 is a wasteful number, since it uses less digits than its factorization.

1100110050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 1100110050 is about 33167.9069282341. The cubic root of 1100110050 is about 1032.3145392862.

Adding to 1100110050 its reverse (500110011), we get a palindrome (1600220061).

The spelling of 1100110050 in words is "one billion, one hundred million, one hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 383 390 450 491 585 650 766 975 982 1149 1170 1473 1915 1950 2298 2455 2925 2946 3447 3830 4419 4910 4979 5745 5850 6383 6894 7365 8838 9575 9958 11490 12275 12766 14730 14937 17235 19149 19150 22095 24550 24895 28725 29874 31915 34470 36825 38298 44190 44811 49790 57447 57450 63830 73650 74685 86175 89622 95745 110475 114894 124475 149370 159575 172350 188053 191490 220950 224055 248950 287235 319150 373425 376106 448110 478725 564159 574470 746850 940265 957450 1120275 1128318 1436175 1692477 1880530 2240550 2444689 2820795 2872350 3384954 4701325 4889378 5641590 7334067 8462385 9402650 12223445 14103975 14668134 16924770 22002201 24446890 28207950 36670335 42311925 44004402 61117225 73340670 84623850 110011005 122234450 183351675 220022010 366703350 550055025 1100110050