Search a number
-
+
12056522031 = 3729190097
BaseRepresentation
bin10110011101001111…
…11110110100101111
31011010020110210000000
423032213332310233
5144142432201111
65312205035343
7604525514001
oct131647766457
934106423000
1012056522031
1151276574a4
122405855b53
1311a1a94708
14825332371
154a86d7c56
hex2ce9fed2f

12056522031 has 32 divisors (see below), whose sum is σ = 18705643200. Its totient is φ = 7760479104.

The previous prime is 12056522017. The next prime is 12056522057. The reversal of 12056522031 is 13022565021.

It is a happy number.

12056522031 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 652 + 2 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 12056522031 - 27 = 12056521903 is a prime.

It is a super-2 number, since 2×120565220312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12056521986 and 12056522004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12056522531) 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 31 ways as a sum of consecutive naturals, for example, 31626 + ... + 158471.

It is an arithmetic number, because the mean of its divisors is an integer number (584551350).

Almost surely, 212056522031 is an apocalyptic number.

12056522031 is a deficient number, since it is larger than the sum of its proper divisors (6649121169).

12056522031 is an frugal number, since it uses more digits than its factorization.

12056522031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190147 (or 190129 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Subtracting 12056522031 from its reverse (13022565021), we obtain a triangular number (966042990 = T43955).

The spelling of 12056522031 in words is "twelve billion, fifty-six million, five hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 27 29 81 87 243 261 729 783 2187 2349 7047 21141 63423 190097 570291 1710873 5132619 5512813 15397857 16538439 46193571 49615317 138580713 148845951 415742139 446537853 1339613559 4018840677 12056522031