Search a number
-
+
13530031500 = 2235325433547
BaseRepresentation
bin11001001100111001…
…11110010110001100
31021220221010210222210
430212130332112030
5210202142002000
610114323310420
7656200240656
oct144634762614
937827123883
1013530031500
115813393a17
12275721b410
1313781401cb
14924cdb6d6
15542c4d350
hex32673e58c

13530031500 has 96 divisors (see below), whose sum is σ = 39426057216. Its totient is φ = 3605572800.

The previous prime is 13530031429. The next prime is 13530031531. The reversal of 13530031500 is 513003531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3812727 + ... + 3816273.

It is an arithmetic number, because the mean of its divisors is an integer number (410688096).

Almost surely, 213530031500 is an apocalyptic number.

13530031500 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 13530031500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713028608).

13530031500 is an abundant number, since it is smaller than the sum of its proper divisors (25896025716).

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

13530031500 is a wasteful number, since it uses less digits than its factorization.

13530031500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The spelling of 13530031500 in words is "thirteen billion, five hundred thirty million, thirty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 2543 3547 5086 7094 7629 10172 10641 12715 14188 15258 17735 21282 25430 30516 35470 38145 42564 50860 53205 63575 70940 76290 88675 106410 127150 152580 177350 190725 212820 254300 266025 317875 354700 381450 443375 532050 635750 762900 886750 953625 1064100 1271500 1330125 1773500 1907250 2660250 3814500 5320500 9020021 18040042 27060063 36080084 45100105 54120126 90200210 108240252 135300315 180400420 225500525 270600630 451001050 541201260 676501575 902002100 1127502625 1353003150 2255005250 2706006300 3382507875 4510010500 6765015750 13530031500