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23130200320 = 28565327673
BaseRepresentation
bin10101100010101010…
…101101100100000000
32012200222112220211221
4111202222231210000
5334332312402240
614343104244424
71446121313233
oct254252554400
965628486757
1023130200320
11989a438937
124596310714
132248047b86
141195d0141a
1590597ca4a
hex562aad900

23130200320 has 72 divisors (see below), whose sum is σ = 55490908536. Its totient is φ = 9237577728.

The previous prime is 23130200311. The next prime is 23130200333. The reversal of 23130200320 is 2300203132.

It can be written as a sum of positive squares in 4 ways, for example, as 625400064 + 22504800256 = 25008^2 + 150016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23130200294 and 23130200303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822004 + ... + 849676.

It is an arithmetic number, because the mean of its divisors is an integer number (770707063).

Almost surely, 223130200320 is an apocalyptic number.

23130200320 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 23130200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27745454268).

23130200320 is an abundant number, since it is smaller than the sum of its proper divisors (32360708216).

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

23130200320 is an equidigital number, since it uses as much as digits as its factorization.

23130200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28347 (or 28333 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23130200320 its reverse (2300203132), we get a palindrome (25430403452).

The spelling of 23130200320 in words is "twenty-three billion, one hundred thirty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 653 1280 1306 2612 3265 5224 6530 10448 13060 20896 26120 27673 41792 52240 55346 83584 104480 110692 138365 167168 208960 221384 276730 417920 442768 553460 835840 885536 1106920 1771072 2213840 3542144 4427680 7084288 8855360 17710720 18070469 35421440 36140938 72281876 90352345 144563752 180704690 289127504 361409380 578255008 722818760 1156510016 1445637520 2313020032 2891275040 4626040064 5782550080 11565100160 23130200320