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4102341200 = 245210979349
BaseRepresentation
bin1111010010000100…
…1100001001010000
3101120220021112011222
43310201030021100
531400144404300
61515023224212
7203442216266
oct36441141120
911526245158
104102341200
111815734731
12965a48068
13504ba4a39
142acb94436
1519023d785
hexf484c250

4102341200 has 60 divisors (see below), whose sum is σ = 9865914300. Its totient is φ = 1639265280.

The previous prime is 4102341149. The next prime is 4102341209. The reversal of 4102341200 is 21432014.

It can be written as a sum of positive squares in 6 ways, for example, as 9412624 + 4092928576 = 3068^2 + 63976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102341209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434126 + ... + 443474.

It is an arithmetic number, because the mean of its divisors is an integer number (164431905).

Almost surely, 24102341200 is an apocalyptic number.

4102341200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102341200 is an abundant number, since it is smaller than the sum of its proper divisors (5763573100).

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

4102341200 is a wasteful number, since it uses less digits than its factorization.

4102341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10464 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4102341200 is about 64049.5214658158. The cubic root of 4102341200 is about 1600.8252513603.

Adding to 4102341200 its reverse (21432014), we get a palindrome (4123773214).

The spelling of 4102341200 in words is "four billion, one hundred two million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1097 2194 4388 5485 8776 9349 10970 17552 18698 21940 27425 37396 43880 46745 54850 74792 87760 93490 109700 149584 186980 219400 233725 373960 438800 467450 747920 934900 1869800 3739600 10255853 20511706 41023412 51279265 82046824 102558530 164093648 205117060 256396325 410234120 512792650 820468240 1025585300 2051170600 4102341200