Search a number
-
+
303130101231 = 327910116132617
BaseRepresentation
bin1000110100100111111…
…01100100010111101111
31001222102122202122102100
410122103331210113233
514431302301214411
6351131150030143
730620563230036
oct4322375442757
91058378678370
10303130101231
11107614048721
124a8b97a8353
132277b465a09
1410958b3371d
157d423a1456
hex4693f645ef

303130101231 has 48 divisors (see below), whose sum is σ = 448235948160. Its totient is φ = 197355225600.

The previous prime is 303130101179. The next prime is 303130101233. The reversal of 303130101231 is 132101031303.

It is a happy number.

303130101231 is a `hidden beast` number, since 303 + 1 + 30 + 101 + 231 = 666.

It is not a de Polignac number, because 303130101231 - 26 = 303130101167 is a prime.

It is a super-2 number, since 2×3031301012312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303130101233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115829835 + ... + 115832451.

It is an arithmetic number, because the mean of its divisors is an integer number (9338248920).

Almost surely, 2303130101231 is an apocalyptic number.

303130101231 is a deficient number, since it is larger than the sum of its proper divisors (145105846929).

303130101231 is a wasteful number, since it uses less digits than its factorization.

303130101231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 303130101231 its reverse (132101031303), we get a palindrome (435231132534).

The spelling of 303130101231 in words is "three hundred three billion, one hundred thirty million, one hundred one thousand, two hundred thirty-one".

Divisors: 1 3 9 79 101 237 303 711 909 1613 2617 4839 7851 7979 14517 23553 23937 71811 127427 162913 206743 264317 382281 488739 620229 792951 1146843 1466217 1860687 2378853 4221221 12663663 12870127 20881043 37990989 38610381 62643129 115831143 187929387 333476459 426343321 1000429377 1279029963 3001288131 3837089889 33681122359 101043367077 303130101231