Search a number
-
+
5310102249 = 323741388933
BaseRepresentation
bin1001111001000000…
…11011101011101001
3111201001220010212200
410330200123223221
541333341232444
62234525530413
7245406060444
oct47440335351
914631803780
105310102249
112285461461
121042413a09
1366818594a
1438534465b
152112ad969
hex13c81bae9

5310102249 has 24 divisors (see below), whose sum is σ = 8069602632. Its totient is φ = 3360372480.

The previous prime is 5310102229. The next prime is 5310102257. The reversal of 5310102249 is 9422010135.

5310102249 is a `hidden beast` number, since 5 + 310 + 102 + 249 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 976250025 + 4333852224 = 31245^2 + 65832^2 .

It is not a de Polignac number, because 5310102249 - 213 = 5310094057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5310102209) 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 23 ways as a sum of consecutive naturals, for example, 180814 + ... + 208119.

It is an arithmetic number, because the mean of its divisors is an integer number (336233443).

Almost surely, 25310102249 is an apocalyptic number.

It is an amenable number.

5310102249 is a deficient number, since it is larger than the sum of its proper divisors (2759500383).

5310102249 is a wasteful number, since it uses less digits than its factorization.

5310102249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389017 (or 389014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5310102249 is about 72870.4483930214. The cubic root of 5310102249 is about 1744.6204595965.

The spelling of 5310102249 in words is "five billion, three hundred ten million, one hundred two thousand, two hundred forty-nine".

Divisors: 1 3 9 37 41 111 123 333 369 1517 4551 13653 388933 1166799 3500397 14390521 15946253 43171563 47838759 129514689 143516277 590011361 1770034083 5310102249