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23130203100 = 22352434214259
BaseRepresentation
bin10101100010101010…
…101110001111011100
32012200222120001122220
4111202222232033130
5334332312444400
614343104305340
71446121324314
oct254252561734
965628501586
1023130203100
11989a43aa34
124596312250
132248049214
141195d02444
1590597d7a0
hex562aae3dc

23130203100 has 144 divisors (see below), whose sum is σ = 68658522240. Its totient is φ = 6008889600.

The previous prime is 23130203093. The next prime is 23130203153. The reversal of 23130203100 is 130203132.

It is a super-2 number, since 2×231302031002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23130203100.

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 47 ways as a sum of consecutive naturals, for example, 5428771 + ... + 5433029.

Almost surely, 223130203100 is an apocalyptic number.

23130203100 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 23130203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34329261120).

23130203100 is an abundant number, since it is smaller than the sum of its proper divisors (45528319140).

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

23130203100 is a wasteful number, since it uses less digits than its factorization.

23130203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23130203100 its reverse (130203132), we get a palindrome (23260406232).

The spelling of 23130203100 in words is "twenty-three billion, one hundred thirty million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 421 430 516 645 842 860 1075 1263 1290 1684 2105 2150 2526 2580 3225 4210 4259 4300 5052 6315 6450 8420 8518 10525 12630 12777 12900 17036 18103 21050 21295 25260 25554 31575 36206 42100 42590 51108 54309 63150 63885 72412 85180 90515 106475 108618 126300 127770 181030 183137 212950 217236 255540 271545 319425 362060 366274 425900 452575 543090 549411 638850 732548 905150 915685 1086180 1098822 1277700 1357725 1793039 1810300 1831370 2197644 2715450 2747055 3586078 3662740 4578425 5379117 5430900 5494110 7172156 8965195 9156850 10758234 10988220 13735275 17930390 18313700 21516468 26895585 27470550 35860780 44825975 53791170 54941100 77100677 89651950 107582340 134477925 154201354 179303900 231302031 268955850 308402708 385503385 462604062 537911700 771006770 925208124 1156510155 1542013540 1927516925 2313020310 3855033850 4626040620 5782550775 7710067700 11565101550 23130203100