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42300303100 = 22521154171081
BaseRepresentation
bin100111011001010010…
…110110011011111100
311001011222111001010121
4213121102312123330
51143112334144400
631233230144324
73025145433556
oct473122663374
9131158431117
1042300303100
1116a37466890
1282463520a4
133cb1802663
142093cb84d6
15117891821a
hex9d94b66fc

42300303100 has 72 divisors (see below), whose sum is σ = 100322860176. Its totient is φ = 15353280000.

The previous prime is 42300303037. The next prime is 42300303113. The reversal of 42300303100 is 130300324.

It is a super-2 number, since 2×423003031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559560 + ... + 630640.

It is an arithmetic number, because the mean of its divisors is an integer number (1393373058).

Almost surely, 242300303100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42300303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50161430088).

42300303100 is an abundant number, since it is smaller than the sum of its proper divisors (58022557076).

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

42300303100 is a wasteful number, since it uses less digits than its factorization.

42300303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71647 (or 71640 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 42300303100 its reverse (130300324), we get a palindrome (42430603424).

The spelling of 42300303100 in words is "forty-two billion, three hundred million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 541 550 1082 1100 2164 2705 5410 5951 10820 11902 13525 23804 27050 29755 54100 59510 71081 119020 142162 148775 284324 297550 355405 595100 710810 781891 1421620 1563782 1777025 3127564 3554050 3909455 7108100 7818910 15637820 19547275 38454821 39094550 76909642 78189100 153819284 192274105 384548210 423003031 769096420 846006062 961370525 1692012124 1922741050 2115015155 3845482100 4230030310 8460060620 10575075775 21150151550 42300303100