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2102230300 = 2252192938153
BaseRepresentation
bin111110101001101…
…0111110100011100
312102111201100211111
41331103113310130
513301132332200
6544334031404
7103044443212
oct17523276434
95374640744
102102230300
11989721815
124a8048564
132766bc071
1415d2aacb2
15c48580ba
hex7d4d7d1c

2102230300 has 72 divisors (see below), whose sum is σ = 4967650800. Its totient is φ = 769144320.

The previous prime is 2102230297. The next prime is 2102230303. The reversal of 2102230300 is 30322012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2102230297) and next prime (2102230303).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102230303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36024 + ... + 74176.

It is an arithmetic number, because the mean of its divisors is an integer number (68995150).

Almost surely, 22102230300 is an apocalyptic number.

2102230300 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 2102230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483825400).

2102230300 is an abundant number, since it is smaller than the sum of its proper divisors (2865420500).

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

2102230300 is a wasteful number, since it uses less digits than its factorization.

2102230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38215 (or 38208 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2102230300 is about 45850.0850598993. The cubic root of 2102230300 is about 1281.0323499417.

Adding to 2102230300 its reverse (30322012), we get a palindrome (2132552312).

The spelling of 2102230300 in words is "two billion, one hundred two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13775 27550 38153 55100 76306 152612 190765 381530 724907 763060 953825 1106437 1449814 1907650 2212874 2899628 3624535 3815300 4425748 5532185 7249070 11064370 14498140 18122675 21022303 22128740 27660925 36245350 42044606 55321850 72490700 84089212 105111515 110643700 210223030 420446060 525557575 1051115150 2102230300