Search a number
-
+
1100121540 = 223572383977
BaseRepresentation
bin100000110010010…
…1000010111000100
32211200001222001020
41001210220113010
54223112342130
6301055231140
736155610300
oct10144502704
92750058036
101100121540
11514a98661
122685184b0
13146bc40bb
14a6170d00
15668abe10
hex419285c4

1100121540 has 144 divisors (see below), whose sum is σ = 3596285952. Its totient is φ = 250543104.

The previous prime is 1100121509. The next prime is 1100121559. The reversal of 1100121540 is 451210011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125532 + ... + 1126508.

It is an arithmetic number, because the mean of its divisors is an integer number (24974208).

Almost surely, 21100121540 is an apocalyptic number.

1100121540 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 1100121540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798142976).

1100121540 is an abundant number, since it is smaller than the sum of its proper divisors (2496164412).

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

1100121540 is a wasteful number, since it uses less digits than its factorization.

1100121540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1100121540 is about 33168.0801373851. The cubic root of 1100121540 is about 1032.3181332457.

Adding to 1100121540 its reverse (451210011), we get a palindrome (1551331551).

The spelling of 1100121540 in words is "one billion, one hundred million, one hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 383 420 490 588 735 766 977 980 1149 1470 1532 1915 1954 2298 2681 2931 2940 3830 3908 4596 4885 5362 5745 5862 6839 7660 8043 9770 10724 11490 11724 13405 13678 14655 16086 18767 19540 20517 22980 26810 27356 29310 32172 34195 37534 40215 41034 47873 53620 56301 58620 68390 75068 80430 82068 93835 95746 102585 112602 136780 143619 160860 187670 191492 205170 225204 239365 281505 287238 374191 375340 410340 478730 563010 574476 718095 748382 957460 1122573 1126020 1436190 1496764 1870955 2245146 2619337 2872380 3741910 4490292 5238674 5612865 7483820 7858011 10477348 11225730 13096685 15716022 18335359 22451460 26193370 31432044 36670718 39290055 52386740 55006077 73341436 78580110 91676795 110012154 157160220 183353590 220024308 275030385 366707180 550060770 1100121540