Search a number
-
+
42203110300 = 2252131753137263
BaseRepresentation
bin100111010011100000…
…000101101110011100
311000221012121010200021
4213103200011232130
51142412444012200
631215435041524
73022555342621
oct472340055634
9130835533607
1042203110300
111699761245a
1282198a02a4
133c97632820
142085018348
15117011a41a
hex9d3805b9c

42203110300 has 288 divisors, whose sum is σ = 107581364352. Its totient is φ = 14229995520.

The previous prime is 42203110291. The next prime is 42203110307. The reversal of 42203110300 is 301130224.

It is a happy number.

It is a super-2 number, since 2×422031103002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42203110307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160467969 + ... + 160468231.

It is an arithmetic number, because the mean of its divisors is an integer number (373546404).

Almost surely, 242203110300 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 42203110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53790682176).

42203110300 is an abundant number, since it is smaller than the sum of its proper divisors (65378254052).

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

42203110300 is a wasteful number, since it uses less digits than its factorization.

42203110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 42203110300 its reverse (301130224), we get a palindrome (42504240524).

The spelling of 42203110300 in words is "forty-two billion, two hundred three million, one hundred ten thousand, three hundred".