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101130001220 = 225197233110161
BaseRepresentation
bin101111000101111010…
…0010101101101000100
3100200000220221100111202
41132023310111231010
53124103240014340
6114243010522032
710210044553463
oct1361364255504
9320026840452
10101130001220
1139986281806
1217724296318
1396c8965b11
144c7516c9da
15296d549c15
hex178bd15b44

101130001220 has 48 divisors (see below), whose sum is σ = 214369082928. Its totient is φ = 40073564160.

The previous prime is 101130001187. The next prime is 101130001223. The reversal of 101130001220 is 22100031101.

It can be written as a sum of positive squares in 8 ways, for example, as 6720064576 + 94409936644 = 81976^2 + 307262^2 .

It is not an unprimeable number, because it can be changed into a prime (101130001223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 862940 + ... + 973100.

It is an arithmetic number, because the mean of its divisors is an integer number (4466022561).

Almost surely, 2101130001220 is an apocalyptic number.

101130001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101130001220 is an abundant number, since it is smaller than the sum of its proper divisors (113239081708).

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

101130001220 is a wasteful number, since it uses less digits than its factorization.

101130001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110600 (or 110598 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101130001220 its reverse (22100031101), we get a palindrome (123230032321).

The spelling of 101130001220 in words is "one hundred one billion, one hundred thirty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 197 233 394 466 788 932 985 1165 1970 2330 3940 4660 45901 91802 110161 183604 220322 229505 440644 459010 550805 918020 1101610 2203220 21701717 25667513 43403434 51335026 86806868 102670052 108508585 128337565 217017170 256675130 434034340 513350260 5056500061 10113000122 20226000244 25282500305 50565000610 101130001220