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2030130200 = 235278317471
BaseRepresentation
bin111100100000001…
…0101010000011000
312020111001022002102
41321000111100120
513124203131300
6533240422532
7101210551640
oct17100252030
95214038072
102030130200
11951a5695a
12487a77a48
13264796697
1415389d520
15bd3650d5
hex79015418

2030130200 has 96 divisors (see below), whose sum is σ = 5459650560. Its totient is φ = 687619200.

The previous prime is 2030130197. The next prime is 2030130227. The reversal of 2030130200 is 20310302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107465 + ... + 124935.

It is an arithmetic number, because the mean of its divisors is an integer number (56871360).

Almost surely, 22030130200 is an apocalyptic number.

2030130200 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 2030130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729825280).

2030130200 is an abundant number, since it is smaller than the sum of its proper divisors (3429520360).

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

2030130200 is a wasteful number, since it uses less digits than its factorization.

2030130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17577 (or 17568 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2030130200 is about 45056.9661650671. The cubic root of 2030130200 is about 1266.2164866831.

Adding to 2030130200 its reverse (20310302), we get a palindrome (2050440502).

The spelling of 2030130200 in words is "two billion, thirty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 140 166 175 200 280 332 350 415 581 664 700 830 1162 1400 1660 2075 2324 2905 3320 4150 4648 5810 8300 11620 14525 16600 17471 23240 29050 34942 58100 69884 87355 116200 122297 139768 174710 244594 349420 436775 489188 611485 698840 873550 978376 1222970 1450093 1747100 2445940 2900186 3057425 3494200 4891880 5800372 6114850 7250465 10150651 11600744 12229700 14500930 20301302 24459400 29001860 36252325 40602604 50753255 58003720 72504650 81205208 101506510 145009300 203013020 253766275 290018600 406026040 507532550 1015065100 2030130200