Search a number
-
+
231331332123 = 321729181128789
BaseRepresentation
bin1101011101110001101…
…1000000000000011011
3211010002212201021012200
43113130123000000123
512242231310111443
6254134441141243
722466414610423
oct3273433000033
9733085637180
10231331332123
118a11a562811
1238a0048a823
1318a7846c658
14b2a7285483
15603ddcbdd3
hex35dc6c001b

231331332123 has 48 divisors (see below), whose sum is σ = 366215709600. Its totient is φ = 140061680640.

The previous prime is 231331332109. The next prime is 231331332131. The reversal of 231331332123 is 321233133132.

231331332123 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 313 + 321 + 23 = 666.

It is not a de Polignac number, because 231331332123 - 24 = 231331332107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231331332143) 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 47 ways as a sum of consecutive naturals, for example, 8021013 + ... + 8049801.

It is an arithmetic number, because the mean of its divisors is an integer number (7629493950).

Almost surely, 2231331332123 is an apocalyptic number.

231331332123 is a deficient number, since it is larger than the sum of its proper divisors (134884377477).

231331332123 is a wasteful number, since it uses less digits than its factorization.

231331332123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30652 (or 30649 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 231331332123 its reverse (321233133132), we get a palindrome (552564465255).

The spelling of 231331332123 in words is "two hundred thirty-one billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 1811 4437 5433 16299 28789 30787 52519 86367 92361 157557 259101 277083 472671 489413 834881 892823 1468239 2504643 2678469 4404717 7513929 8035407 14192977 42578931 52136879 127736793 156410637 469231911 886326943 1511969491 2658980829 4535908473 7976942487 13607725419 25703481347 77110444041 231331332123