Search a number
-
+
4102021200 = 243523418351
BaseRepresentation
bin1111010001111111…
…1110000001010000
3101120212200021020010
43310133332001100
531400104134300
61515012314520
7203436414324
oct36437760120
911525607203
104102021200
111815536272
12965912a40
13504ac21a4
142acb0d984
151901c8a50
hexf47fe050

4102021200 has 60 divisors (see below), whose sum is σ = 13140145088. Its totient is φ = 1093872000.

The previous prime is 4102021151. The next prime is 4102021223. The reversal of 4102021200 is 21202014.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 11 ways as a sum of consecutive naturals, for example, 1707976 + ... + 1710375.

Almost surely, 24102021200 is an apocalyptic number.

4102021200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102021200 is an abundant number, since it is smaller than the sum of its proper divisors (9038123888).

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

4102021200 is a wasteful number, since it uses less digits than its factorization.

4102021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418372 (or 3418361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4102021200 is about 64047.0233500356. The cubic root of 4102021200 is about 1600.7836265599.

Adding to 4102021200 its reverse (21202014), we get a palindrome (4123223214).

The spelling of 4102021200 in words is "four billion, one hundred two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3418351 6836702 10255053 13673404 17091755 20510106 27346808 34183510 41020212 51275265 54693616 68367020 82040424 85458775 102550530 136734040 164080848 170917550 205101060 256376325 273468080 341835100 410202120 512752650 683670200 820404240 1025505300 1367340400 2051010600 4102021200