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42217730300 = 22521725399781
BaseRepresentation
bin100111010100010111…
…110111000011111100
311000222020002220112202
4213110113313003330
51142430214332200
631221120251032
73023123533544
oct472427670374
9130866086482
1042217730300
11169a48986a9
128222770a78
133c9a681205
142086d42324
1511715571d5
hex9d45f70fc

42217730300 has 72 divisors (see below), whose sum is σ = 97049569680. Its totient is φ = 15885849600.

The previous prime is 42217730251. The next prime is 42217730311. The reversal of 42217730300 is 303771224.

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, 4311410 + ... + 4321190.

It is an arithmetic number, because the mean of its divisors is an integer number (1347910690).

Almost surely, 242217730300 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 42217730300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48524784840).

42217730300 is an abundant number, since it is smaller than the sum of its proper divisors (54831839380).

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

42217730300 is a wasteful number, since it uses less digits than its factorization.

42217730300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12351 (or 12344 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The spelling of 42217730300 in words is "forty-two billion, two hundred seventeen million, seven hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2539 5078 9781 10156 12695 19562 25390 39124 43163 48905 50780 63475 86326 97810 126950 166277 172652 195620 215815 244525 253900 332554 431630 489050 665108 831385 863260 978100 1079075 1662770 2158150 3325540 4156925 4316300 8313850 16627700 24833959 49667918 99335836 124169795 248339590 422177303 496679180 620848975 844354606 1241697950 1688709212 2110886515 2483395900 4221773030 8443546060 10554432575 21108865150 42217730300