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13253240200 = 23521015091289
BaseRepresentation
bin11000101011111010…
…00110010110001000
31021012122022100201011
430111331012112020
5204120312141300
610031034533304
7646266453154
oct142575062610
937178270634
1013253240200
115691121582
12269a597234
1313329aa185
148da24a064
155287c5eba
hex315f46588

13253240200 has 96 divisors (see below), whose sum is σ = 31204197000. Its totient is φ = 5234432000.

The previous prime is 13253240191. The next prime is 13253240243. The reversal of 13253240200 is 204235231.

It can be written as a sum of positive squares in 12 ways, for example, as 7886505636 + 5366734564 = 88806^2 + 73258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10281156 + ... + 10282444.

Almost surely, 213253240200 is an apocalyptic number.

13253240200 is a gapful number since it is divisible by the number (10) 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 13253240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602098500).

13253240200 is an abundant number, since it is smaller than the sum of its proper divisors (17950956800).

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

13253240200 is a wasteful number, since it uses less digits than its factorization.

13253240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 13253240200 its reverse (204235231), we get a palindrome (13457475431).

The spelling of 13253240200 in words is "thirteen billion, two hundred fifty-three million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 509 808 1010 1018 1289 2020 2036 2525 2545 2578 4040 4072 5050 5090 5156 6445 10100 10180 10312 12725 12890 20200 20360 25450 25780 32225 50900 51409 51560 64450 101800 102818 128900 130189 205636 257045 257800 260378 411272 514090 520756 650945 656101 1028180 1041512 1285225 1301890 1312202 2056360 2570450 2603780 2624404 3254725 3280505 5140900 5207560 5248808 6509450 6561010 10281800 13018900 13122020 16402525 26037800 26244040 32805050 65610100 66266201 131220200 132532402 265064804 331331005 530129608 662662010 1325324020 1656655025 2650648040 3313310050 6626620100 13253240200