Search a number
-
+
2100121120 = 25564120477
BaseRepresentation
bin111110100101101…
…0100111000100000
312102100202012120201
41331023110320200
513300112333440
6544220514544
7103020510046
oct17513247040
95370665521
102100121120
11988511099
124a73aba54
13276131026
1415ccbc396
15c458d19a
hex7d2d4e20

2100121120 has 48 divisors (see below), whose sum is σ = 4969519128. Its totient is φ = 838696960.

The previous prime is 2100121109. The next prime is 2100121139. The reversal of 2100121120 is 211210012.

It can be written as a sum of positive squares in 4 ways, for example, as 2087758864 + 12362256 = 45692^2 + 3516^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2100121097 and 2100121106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92322 + ... + 112798.

Almost surely, 22100121120 is an apocalyptic number.

2100121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100121120 is an abundant number, since it is smaller than the sum of its proper divisors (2869398008).

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

2100121120 is a wasteful number, since it uses less digits than its factorization.

2100121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21133 (or 21125 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2100121120 is about 45827.0784580471. The cubic root of 2100121120 is about 1280.6037841568.

Adding to 2100121120 its reverse (211210012), we get a palindrome (2311331132).

The spelling of 2100121120 in words is "two billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 641 1282 2564 3205 5128 6410 10256 12820 20477 20512 25640 40954 51280 81908 102385 102560 163816 204770 327632 409540 655264 819080 1638160 3276320 13125757 26251514 52503028 65628785 105006056 131257570 210012112 262515140 420024224 525030280 1050060560 2100121120