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2102894300 = 2252133152181
BaseRepresentation
bin111110101010111…
…1001111011011100
312102112222002200002
41331111321323130
513301320104200
6544400153432
7103053210113
oct17525717334
95375862602
102102894300
1198a035681
124a8308878
13276892370
1415d400c7a
15c4939bd5
hex7d579edc

2102894300 has 72 divisors (see below), whose sum is σ = 5072925312. Its totient is φ = 751392000.

The previous prime is 2102894263. The next prime is 2102894309. The reversal of 2102894300 is 34982012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102894309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14210 + ... + 66390.

It is an arithmetic number, because the mean of its divisors is an integer number (70457296).

Almost surely, 22102894300 is an apocalyptic number.

2102894300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102894300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536462656).

2102894300 is an abundant number, since it is smaller than the sum of its proper divisors (2970031012).

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

2102894300 is a wasteful number, since it uses less digits than its factorization.

2102894300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52239 (or 52232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2102894300 is about 45857.3254780520. The cubic root of 2102894300 is about 1281.1672092449.

The spelling of 2102894300 in words is "two billion, one hundred two million, eight hundred ninety-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 775 806 1300 1550 1612 2015 3100 4030 8060 10075 20150 40300 52181 104362 208724 260905 521810 678353 1043620 1304525 1356706 1617611 2609050 2713412 3235222 3391765 5218100 6470444 6783530 8088055 13567060 16176110 16958825 21028943 32352220 33917650 40440275 42057886 67835300 80880550 84115772 105144715 161761100 210289430 420578860 525723575 1051447150 2102894300