Search a number
-
+
301230302031 = 331933372509
BaseRepresentation
bin1000110001000101011…
…10011010001101001111
31001210112020221211212000
410120202232122031033
514413404424131111
6350214442443343
730522524214621
oct4304256321517
91053466854760
10301230302031
1110682971a43a
124a469503553
13225379a2689
14108186bcc11
157c806d2c56
hex4622b9a34f

301230302031 has 48 divisors (see below), whose sum is σ = 450798343200. Its totient is φ = 198795534336.

The previous prime is 301230302011. The next prime is 301230302057. The reversal of 301230302031 is 130203032103.

301230302031 is a `hidden beast` number, since 301 + 2 + 30 + 302 + 0 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-301230302031 is a prime.

It is a super-2 number, since 2×3012303020312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301230301995 and 301230302013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301230302011) 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 47 ways as a sum of consecutive naturals, for example, 591807805 + ... + 591808313.

It is an arithmetic number, because the mean of its divisors is an integer number (9391632150).

Almost surely, 2301230302031 is an apocalyptic number.

301230302031 is a deficient number, since it is larger than the sum of its proper divisors (149568041169).

301230302031 is an equidigital number, since it uses as much as digits as its factorization.

301230302031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 301230302031 its reverse (130203032103), we get a palindrome (431433334134).

The spelling of 301230302031 in words is "three hundred one billion, two hundred thirty million, three hundred two thousand, thirty-one".

Divisors: 1 3 9 27 193 337 509 579 1011 1527 1737 3033 4581 5211 9099 13743 65041 98237 113569 171533 195123 294711 340707 514599 585369 884133 1022121 1543797 1756107 2652399 3066363 4631391 21918817 33105869 57806621 65756451 99317607 173419863 197269353 297952821 520259589 591808059 893858463 1560778767 11156677853 33470033559 100410100677 301230302031