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42302033300 = 22521731778497
BaseRepresentation
bin100111011001011001…
…011100110110010100
311001012002201221112002
4213121121130312110
51143113310031200
631233331214432
73025166231102
oct473131346624
9131162657462
1042302033300
1116a384387aa
128246a47418
133cb1c8a047
142094208c72
151178b5abd5
hex9d965cd94

42302033300 has 72 divisors (see below), whose sum is σ = 97502993784. Its totient is φ = 15875031040.

The previous prime is 42302033299. The next prime is 42302033381. The reversal of 42302033300 is 333020324.

It can be written as a sum of positive squares in 12 ways, for example, as 23314846864 + 18987186436 = 152692^2 + 137794^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 499652 + ... + 578148.

It is an arithmetic number, because the mean of its divisors is an integer number (1354208247).

Almost surely, 242302033300 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 42302033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48751496892).

42302033300 is an abundant number, since it is smaller than the sum of its proper divisors (55200960484).

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

42302033300 is a wasteful number, since it uses less digits than its factorization.

42302033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78845 (or 78838 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 42302033300 its reverse (333020324), we get a palindrome (42635053624).

The spelling of 42302033300 in words is "forty-two billion, three hundred two million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 317 340 425 634 850 1268 1585 1700 3170 5389 6340 7925 10778 15850 21556 26945 31700 53890 78497 107780 134725 156994 269450 313988 392485 538900 784970 1334449 1569940 1962425 2668898 3924850 5337796 6672245 7849700 13344490 24883549 26688980 33361225 49767098 66722450 99534196 124417745 133444900 248835490 423020333 497670980 622088725 846040666 1244177450 1692081332 2115101665 2488354900 4230203330 8460406660 10575508325 21151016650 42302033300