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231013102320 = 2432571113378663
BaseRepresentation
bin1101011100100101110…
…1000011001011110000
3211002021200220111222200
43113021131003023300
512241103323233240
6254043112303200
722455501653640
oct3271135031360
9732250814880
10231013102320
1189a76967a80
12389319a1b00
1318a2755b0b0
14b276cc8520
156020ebb930
hex35c97432f0

231013102320 has 960 divisors, whose sum is σ = 1069935519744. Its totient is φ = 43107655680.

The previous prime is 231013102303. The next prime is 231013102343. The reversal of 231013102320 is 23201310132.

231013102320 is a `hidden beast` number, since 2 + 31 + 0 + 1 + 310 + 2 + 320 = 666.

231013102320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231013102293 and 231013102302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26662309 + ... + 26670971.

Almost surely, 2231013102320 is an apocalyptic number.

231013102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231013102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534967759872).

231013102320 is an abundant number, since it is smaller than the sum of its proper divisors (838922417424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231013102320 is a wasteful number, since it uses less digits than its factorization.

231013102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231013102320 its reverse (23201310132), we get a palindrome (254214412452).

It can be divided in two parts, 231013 and 102320, that added together give a palindrome (333333).

The spelling of 231013102320 in words is "two hundred thirty-one billion, thirteen million, one hundred two thousand, three hundred twenty".