Search a number
-
+
4201100505 = 33572635087
BaseRepresentation
bin1111101001100111…
…1011010011011001
3101211210010000111000
43322121323103121
532100440204010
61532512055213
7206051523300
oct37231732331
911753100430
104201100505
111866458a98
12992b34509
1351c4a28b4
142bbd41437
15198c4a7c0
hexfa67b4d9

4201100505 has 48 divisors (see below), whose sum is σ = 8688003840. Its totient is φ = 1920500064.

The previous prime is 4201100417. The next prime is 4201100521. The reversal of 4201100505 is 5050011024.

It is not a de Polignac number, because 4201100505 - 211 = 4201098457 is a prime.

It is a super-2 number, since 2×42011005052 = 35298490906222510050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310929 + ... + 324158.

It is an arithmetic number, because the mean of its divisors is an integer number (181000080).

Almost surely, 24201100505 is an apocalyptic number.

4201100505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4201100505 is an abundant number, since it is smaller than the sum of its proper divisors (4486903335).

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

4201100505 is a wasteful number, since it uses less digits than its factorization.

4201100505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635115 (or 635102 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 4201100505 is about 64815.8970083729. The cubic root of 4201100505 is about 1613.5695532652.

Adding to 4201100505 its reverse (5050011024), we get a palindrome (9251111529).

The spelling of 4201100505 in words is "four billion, two hundred one million, one hundred thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 635087 1905261 3175435 4445609 5715783 9526305 13336827 17147349 22228045 28578915 31119263 40010481 66684135 85736745 93357789 120031443 155596315 200052405 280073367 466788945 600157215 840220101 1400366835 4201100505