Search a number
-
+
301131000132231 = 35318123934372573
BaseRepresentation
bin100010001111000001000011…
…0010010110011001010000111
31110111012211202011020020110110
41010132002012102303022013
5303432212242013212411
62544241401030124103
7120266665622124633
oct10436020622631207
91414184664206413
10301131000132231
1187a49a38118705
12299352567b0633
13cc046ba82a5a9
145450b650cbdc3
1524c3195b442a6
hex111e0864b3287

301131000132231 has 32 divisors (see below), whose sum is σ = 411515742036672. Its totient is φ = 195796078433280.

The previous prime is 301131000132223. The next prime is 301131000132239. The reversal of 301131000132231 is 132231000131103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (301131000132223) and next prime (301131000132239).

It is not a de Polignac number, because 301131000132231 - 23 = 301131000132223 is a prime.

It is a super-2 number, since 2×3011310001322312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 301131000132198 and 301131000132207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301131000132239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66681861 + ... + 71054433.

It is an arithmetic number, because the mean of its divisors is an integer number (12859866938646).

Almost surely, 2301131000132231 is an apocalyptic number.

301131000132231 is a deficient number, since it is larger than the sum of its proper divisors (110384741904441).

301131000132231 is a wasteful number, since it uses less digits than its factorization.

301131000132231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375203.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 301131000132231 its reverse (132231000131103), we get a palindrome (433362000263334).

The spelling of 301131000132231 in words is "three hundred one trillion, one hundred thirty-one billion, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 53 159 181 543 2393 7179 9593 28779 126829 380487 433133 1299399 4372573 13117719 22956049 68868147 231746369 695239107 791435713 2374307139 10463567189 31390701567 41946092789 125838278367 554569061017 1663707183051 1893905661209 5681716983627 100377000044077 301131000132231