[go: up one dir, main page]

Search a number
-
+
231431013 = 3511217463
BaseRepresentation
bin11011100101101…
…01101101100101
3121010110220200000
431302311231211
5433221243023
634544211513
75510062662
oct1562655545
9533426600
10231431013
11109700600
1265609b99
1338c40738
1422a44a69
15154b7243
hexdcb5b65

231431013 has 72 divisors (see below), whose sum is σ = 404337024. Its totient is φ = 131725440.

The previous prime is 231431003. The next prime is 231431021. The reversal of 231431013 is 310134132.

231431013 is a `hidden beast` number, since 231 + 431 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 231431013 - 212 = 231426917 is a prime.

It is a super-3 number, since 3×2314310133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231431003) 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 71 ways as a sum of consecutive naturals, for example, 499620 + ... + 500082.

It is an arithmetic number, because the mean of its divisors is an integer number (5615792).

Almost surely, 2231431013 is an apocalyptic number.

It is an amenable number.

231431013 is a deficient number, since it is larger than the sum of its proper divisors (172906011).

231431013 is a wasteful number, since it uses less digits than its factorization.

231431013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 231431013 is about 15212.8568322981. The cubic root of 231431013 is about 613.9606239360.

Adding to 231431013 its reverse (310134132), we get a palindrome (541565145).

The spelling of 231431013 in words is "two hundred thirty-one million, four hundred thirty-one thousand, thirteen".

Divisors: 1 3 9 11 17 27 33 51 81 99 121 153 187 243 297 363 459 463 561 891 1089 1377 1389 1683 2057 2673 3267 4131 4167 5049 5093 6171 7871 9801 12501 15147 15279 18513 23613 29403 37503 45441 45837 55539 56023 70839 86581 112509 137511 166617 168069 212517 259743 412533 499851 504207 637551 779229 952391 1237599 1512621 1912653 2337687 2857173 4537863 7013061 8571519 13613589 21039183 25714557 77143671 231431013