Search a number
-
+
2101241304 = 233368314243
BaseRepresentation
bin111110100111110…
…0110010111011000
312102102212010012000
41331033212113120
513300404210204
6544300521000
7103033153641
oct17517462730
95372763160
102101241304
11989106768
124a7850160
13276433b66
1415d0d06c8
15c4710039
hex7d3e65d8

2101241304 has 64 divisors (see below), whose sum is σ = 5845737600. Its totient is φ = 699339168.

The previous prime is 2101241279. The next prime is 2101241309. The reversal of 2101241304 is 4031421012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101241309) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 140407 + ... + 154649.

It is an arithmetic number, because the mean of its divisors is an integer number (91339650).

Almost surely, 22101241304 is an apocalyptic number.

2101241304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2101241304 is an abundant number, since it is smaller than the sum of its proper divisors (3744496296).

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

2101241304 is a wasteful number, since it uses less digits than its factorization.

2101241304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941 (or 14931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2101241304 is about 45839.2986857347. The cubic root of 2101241304 is about 1280.8314308514.

Adding to 2101241304 its reverse (4031421012), we get a palindrome (6132662316).

The spelling of 2101241304 in words is "two billion, one hundred one million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 683 1366 2049 2732 4098 5464 6147 8196 12294 14243 16392 18441 24588 28486 36882 42729 49176 56972 73764 85458 113944 128187 147528 170916 256374 341832 384561 512748 769122 1025496 1538244 3076488 9727969 19455938 29183907 38911876 58367814 77823752 87551721 116735628 175103442 233471256 262655163 350206884 525310326 700413768 1050620652 2101241304