Search a number
-
+
2100120020 = 225105006001
BaseRepresentation
bin111110100101101…
…0100100111010100
312102100202011001222
41331023110213110
513300112320040
6544220505512
7103020503615
oct17513244724
95370664058
102100120020
11988510289
124a73ab298
1327613068b
1415ccbbc0c
15c458cbb5
hex7d2d49d4

2100120020 has 12 divisors (see below), whose sum is σ = 4410252084. Its totient is φ = 840048000.

The previous prime is 2100120019. The next prime is 2100120047. The reversal of 2100120020 is 200210012.

It can be written as a sum of positive squares in 2 ways, for example, as 1325833744 + 774286276 = 36412^2 + 27826^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52502981 + ... + 52503020.

It is an arithmetic number, because the mean of its divisors is an integer number (367521007).

Almost surely, 22100120020 is an apocalyptic number.

2100120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100120020 is an abundant number, since it is smaller than the sum of its proper divisors (2310132064).

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

2100120020 is a wasteful number, since it uses less digits than its factorization.

2100120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105006010 (or 105006008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2100120020 is about 45827.0664564076. The cubic root of 2100120020 is about 1280.6035605722.

Adding to 2100120020 its reverse (200210012), we get a palindrome (2300330032).

The spelling of 2100120020 in words is "two billion, one hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 105006001 210012002 420024004 525030005 1050060010 2100120020