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2006131231 = 1332329372
BaseRepresentation
bin111011110010011…
…0010001000011111
312011210220000200201
41313210302020133
513102032144411
6531022204331
7100466556046
oct16744621037
95153800621
102006131231
1193a4550a5
1247ba236a7
1325c813000
1415061355d
15bb1c43c1
hex7793221f

2006131231 has 48 divisors (see below), whose sum is σ = 2411035200. Its totient is φ = 1663998336.

The previous prime is 2006131213. The next prime is 2006131247. The reversal of 2006131231 is 1321316002.

It is not a de Polignac number, because 2006131231 - 213 = 2006123039 is a prime.

It is a super-3 number, since 3×20061312313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2006131199 and 2006131208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006131201) 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, 54219745 + ... + 54219781.

It is an arithmetic number, because the mean of its divisors is an integer number (50229900).

Almost surely, 22006131231 is an apocalyptic number.

2006131231 is a deficient number, since it is larger than the sum of its proper divisors (404903969).

2006131231 is an equidigital number, since it uses as much as digits as its factorization.

2006131231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2006131231 is about 44789.8563404707. The cubic root of 2006131231 is about 1261.2072143268.

Adding to 2006131231 its reverse (1321316002), we get a palindrome (3327447233).

The spelling of 2006131231 in words is "two billion, six million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 13 23 29 37 169 299 377 481 667 851 1073 1369 2197 3887 4901 6253 8671 11063 13949 17797 24679 31487 39701 50531 63713 81289 112723 143819 181337 231361 320827 409331 516113 913123 1465399 1869647 2357381 3007693 4170751 5321303 6709469 11870599 54219763 69176939 87223097 154317787 2006131231