Search a number
-
+
115132221024 = 25327119732243
BaseRepresentation
bin110101100111001101…
…0100100011001100000
3102000011202120211002020
41223032122210121200
53341242322033044
6124520243021440
711214040505652
oct1531632443140
9360152524066
10115132221024
1144911156797
121a39166a880
13ab1a871192
145802a626d2
152edc96aa19
hex1ace6a4660

115132221024 has 96 divisors (see below), whose sum is σ = 303626340864. Its totient is φ = 38199375360.

The previous prime is 115132221007. The next prime is 115132221031. The reversal of 115132221024 is 420122231511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 115132220985 and 115132221003.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51328447 + ... + 51330689.

It is an arithmetic number, because the mean of its divisors is an integer number (3162774384).

Almost surely, 2115132221024 is an apocalyptic number.

It is an amenable number.

115132221024 is an abundant number, since it is smaller than the sum of its proper divisors (188494119840).

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

115132221024 is a wasteful number, since it uses less digits than its factorization.

115132221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 115132221024 its reverse (420122231511), we get a palindrome (535254452535).

The spelling of 115132221024 in words is "one hundred fifteen billion, one hundred thirty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 1973 2168 2243 3252 3946 4336 4486 5919 6504 6729 7892 8672 8972 11838 13008 13458 15784 17944 23676 26016 26916 31568 35888 47352 53832 63136 71776 94704 107664 189408 215328 534683 607853 1069366 1215706 1604049 1823559 2138732 2431412 3208098 3647118 4277464 4425439 4862824 6416196 7294236 8554928 8850878 9725648 12832392 13276317 14588472 17109856 17701756 19451296 25664784 26552634 29176944 35403512 51329568 53105268 58353888 70807024 106210536 141614048 212421072 424842144 1199293969 2398587938 3597881907 4797175876 7195763814 9594351752 14391527628 19188703504 28783055256 38377407008 57566110512 115132221024