Search a number
-
+
821147031 = 33371097541
BaseRepresentation
bin110000111100011…
…011010110010111
32010020010120222000
4300330123112113
53140203201111
6213252010343
726230430445
oct6074332627
92106116860
10821147031
11391574a11
121ab0009b3
13101178423
147b0b1b95
154c152c56
hex30f1b597

821147031 has 32 divisors (see below), whose sum is σ = 1261022400. Its totient is φ = 527679360.

The previous prime is 821147027. The next prime is 821147053. The reversal of 821147031 is 130741128.

It is not a de Polignac number, because 821147031 - 22 = 821147027 is a prime.

It is a super-2 number, since 2×8211470312 = 1348564893040229922, which 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 = 821146986 and 821147004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821147231) 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 31 ways as a sum of consecutive naturals, for example, 105121 + ... + 112661.

It is an arithmetic number, because the mean of its divisors is an integer number (39406950).

Almost surely, 2821147031 is an apocalyptic number.

821147031 is a deficient number, since it is larger than the sum of its proper divisors (439875369).

821147031 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 821147031 = (101178423)13.

821147031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 821147031 is about 28655.6631575680. The cubic root of 821147031 is about 936.4263856985.

Adding to 821147031 its reverse (130741128), we get a palindrome (951888159).

The spelling of 821147031 in words is "eight hundred twenty-one million, one hundred forty-seven thousand, thirty-one".

Divisors: 1 3 9 27 37 109 111 327 333 981 999 2943 4033 7541 12099 22623 36297 67869 108891 203607 279017 821969 837051 2465907 2511153 7397721 7533459 22193163 30412853 91238559 273715677 821147031