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231303031011 = 321319917095813
BaseRepresentation
bin1101011101101010111…
…1000010100011100011
3211010000220110102101100
43113122233002203203
512242202033443021
6254131550405443
722465622216043
oct3273257024343
9733026412340
10231303031011
118a105592768
12389b2b00883
1318a72640a30
14b2a35d9723
15603b68b626
hex35dabc28e3

231303031011 has 48 divisors (see below), whose sum is σ = 361886616000. Its totient is φ = 141517829376.

The previous prime is 231303030977. The next prime is 231303031021. The reversal of 231303031011 is 110130303132.

It is a happy number.

231303031011 is a `hidden beast` number, since 2 + 313 + 0 + 30 + 310 + 11 = 666.

It is not a de Polignac number, because 231303031011 - 214 = 231303014627 is a prime.

It is a super-3 number, since 3×2313030310113 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (231303031021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39787741 + ... + 39793553.

It is an arithmetic number, because the mean of its divisors is an integer number (7539304500).

Almost surely, 2231303031011 is an apocalyptic number.

231303031011 is a deficient number, since it is larger than the sum of its proper divisors (130583584989).

231303031011 is a wasteful number, since it uses less digits than its factorization.

231303031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 231303031011 its reverse (110130303132), we get a palindrome (341433334143).

The spelling of 231303031011 in words is "two hundred thirty-one billion, three hundred three million, thirty-one thousand, eleven".

Divisors: 1 3 9 13 39 117 199 597 1709 1791 2587 5127 5813 7761 15381 17439 22217 23283 52317 66651 75569 199953 226707 340091 680121 1020273 1156787 3060819 3470361 4421183 9934417 10411083 13263549 15038231 29803251 39790647 45114693 89409753 129147421 135344079 387442263 1162326789 1976948983 5930846949 17792540847 25700336779 77101010337 231303031011