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4241200100 = 2252471038761
BaseRepresentation
bin1111110011001011…
…1001001111100100
3101221120120021210012
43330302321033210
532141221400400
61540503345352
7210046414604
oct37462711744
911846507705
104241200100
111887057455
129a4452258
135278a2877
142c33bcc04
1519c51bd35
hexfccb93e4

4241200100 has 72 divisors (see below), whose sum is σ = 9491559168. Its totient is φ = 1644076800.

The previous prime is 4241200099. The next prime is 4241200111. The reversal of 4241200100 is 10021424.

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, 479720 + ... + 488480.

Almost surely, 24241200100 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 4241200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745779584).

4241200100 is an abundant number, since it is smaller than the sum of its proper divisors (5250359068).

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

4241200100 is a wasteful number, since it uses less digits than its factorization.

4241200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4241200100 is about 65124.4969270397. The cubic root of 4241200100 is about 1618.6871571634.

Adding to 4241200100 its reverse (10021424), we get a palindrome (4251221524).

The spelling of 4241200100 in words is "four billion, two hundred forty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 103 188 206 235 412 470 515 940 1030 1175 2060 2350 2575 4700 4841 5150 8761 9682 10300 17522 19364 24205 35044 43805 48410 87610 96820 121025 175220 219025 242050 411767 438050 484100 823534 876100 902383 1647068 1804766 2058835 3609532 4117670 4511915 8235340 9023830 10294175 18047660 20588350 22559575 41176700 42412001 45119150 84824002 90238300 169648004 212060005 424120010 848240020 1060300025 2120600050 4241200100