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2130110240 = 25561218249
BaseRepresentation
bin111111011110110…
…1110011100100000
312111110011210220212
41332331232130200
513330302011430
6551211353252
7103533431636
oct17675563440
95443153825
102130110240
119a3434395
124b5452828
1327c40107b
14162c87356
15c7013b95
hex7ef6e720

2130110240 has 48 divisors (see below), whose sum is σ = 5114907000. Its totient is φ = 838072320.

The previous prime is 2130110237. The next prime is 2130110261. The reversal of 2130110240 is 420110312.

It can be written as a sum of positive squares in 4 ways, for example, as 1212989584 + 917120656 = 34828^2 + 30284^2 .

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 7 ways as a sum of consecutive naturals, for example, 99365 + ... + 118884.

Almost surely, 22130110240 is an apocalyptic number.

2130110240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130110240 is an abundant number, since it is smaller than the sum of its proper divisors (2984796760).

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

2130110240 is a wasteful number, since it uses less digits than its factorization.

2130110240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218325 (or 218317 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2130110240 is about 46153.1173378354. The cubic root of 2130110240 is about 1286.6705480418.

Adding to 2130110240 its reverse (420110312), we get a palindrome (2550220552).

The spelling of 2130110240 in words is "two billion, one hundred thirty million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 218249 436498 872996 1091245 1745992 2182490 3491984 4364980 6983968 8729960 13313189 17459920 26626378 34919840 53252756 66565945 106505512 133131890 213011024 266263780 426022048 532527560 1065055120 2130110240