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231000813 = 32197313009
BaseRepresentation
bin11011100010011…
…00101011101101
3121002200001112200
431301030223231
5433114011223
634531052113
75503321521
oct1561145355
9532601480
10231000813
1110943736a
1265441039
1338b1c994
1422971d81
151542ea43
hexdc4caed

231000813 has 12 divisors (see below), whose sum is σ = 333862620. Its totient is φ = 153910656.

The previous prime is 231000787. The next prime is 231000853. The reversal of 231000813 is 318000132.

It can be written as a sum of positive squares in 2 ways, for example, as 47858724 + 183142089 = 6918^2 + 13533^2 .

It is not a de Polignac number, because 231000813 - 210 = 230999789 is a prime.

It is a super-2 number, since 2×2310008132 = 106722751213321938, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231000853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11253 + ... + 24261.

It is an arithmetic number, because the mean of its divisors is an integer number (27821885).

Almost surely, 2231000813 is an apocalyptic number.

It is an amenable number.

231000813 is a deficient number, since it is larger than the sum of its proper divisors (102861807).

231000813 is a wasteful number, since it uses less digits than its factorization.

231000813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14988 (or 14985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 231000813 is about 15198.7108992835. The cubic root of 231000813 is about 613.5799637921.

Adding to 231000813 its reverse (318000132), we get a palindrome (549000945).

The spelling of 231000813 in words is "two hundred thirty-one million, eight hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 1973 5919 13009 17757 39027 117081 25666757 77000271 231000813