Search a number
-
+
232322104131 = 313295315125667
BaseRepresentation
bin1101100001011101111…
…0011111101101000011
3211012122221000200220020
43120113132133231003
512301243424313011
6254421032544523
722533105205515
oct3302736375503
9735587020806
10232322104131
118a588853457
1239038252143
1318ba57c8490
14b35caadbb5
15609ad89006
hex361779fb43

232322104131 has 64 divisors (see below), whose sum is σ = 353947345920. Its totient is φ = 134530905600.

The previous prime is 232322104123. The next prime is 232322104241. The reversal of 232322104131 is 131401223232.

It is not a de Polignac number, because 232322104131 - 23 = 232322104123 is a prime.

It is a super-2 number, since 2×2323221041312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232322104111) 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 63 ways as a sum of consecutive naturals, for example, 9038560 + ... + 9064226.

It is an arithmetic number, because the mean of its divisors is an integer number (5530427280).

Almost surely, 2232322104131 is an apocalyptic number.

232322104131 is a deficient number, since it is larger than the sum of its proper divisors (121625241789).

232322104131 is a wasteful number, since it uses less digits than its factorization.

232322104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25916.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 232322104131 its reverse (131401223232), we get a palindrome (363723327363).

The spelling of 232322104131 in words is "two hundred thirty-two billion, three hundred twenty-two million, one hundred four thousand, one hundred thirty-one".

Divisors: 1 3 13 29 39 53 87 151 159 377 453 689 1131 1537 1963 2067 4379 4611 5889 8003 13137 19981 24009 25667 56927 59943 77001 104039 170781 232087 312117 333671 696261 744343 1001013 1360351 2233029 3017131 3875717 4081053 9051393 9676459 11627151 17684563 29029377 39450179 50384321 53053689 112395793 118350537 151152963 205413001 337187379 512852327 616239003 1461145309 1538556981 2670369013 4383435927 5956977029 8011107039 17870931087 77440701377 232322104131