Search a number
-
+
99288640201 = 67247032
BaseRepresentation
bin101110001111000010…
…0000110101011001001
3100111021121002112001111
41130132010012223021
53111320342441301
6113340152050321
710113315342142
oct1343604065311
9314247075044
1099288640201
1139120937a43
12172ab6939a1
13949432389a
144b3c7aaac9
1528b1a71551
hex171e106ac9

99288640201 has 9 divisors (see below), whose sum is σ = 100814114541. Its totient is φ = 97785923532.

The previous prime is 99288640183. The next prime is 99288640291. The reversal of 99288640201 is 10204688299.

The square root of 99288640201 is 315101.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 99288640201 - 215 = 99288607433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99288640291) 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 8 ways as a sum of consecutive naturals, for example, 21109416 + ... + 21114118.

Almost surely, 299288640201 is an apocalyptic number.

99288640201 is the 315101-st square number.

99288640201 is the 157551-st centered octagonal number.

It is an amenable number.

99288640201 is a deficient number, since it is larger than the sum of its proper divisors (1525474340).

99288640201 is an frugal number, since it uses more digits than its factorization.

99288640201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 99288640201 by its sum of digits (49), we get a square (4865143369849 = 22057072).

The spelling of 99288640201 in words is "ninety-nine billion, two hundred eighty-eight million, six hundred forty thousand, two hundred one".

Divisors: 1 67 4489 4703 315101 21111767 22118209 1481920003 99288640201