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130133203120 = 24510728353719
BaseRepresentation
bin111100100110010001…
…0110001100010110000
3110102220012120122221201
41321030202301202300
54113003044444440
6135440554100544
712254551655434
oct1711442614260
9412805518851
10130133203120
1150209889658
122127941a754
13c36b67224b
1464270609c4
1535b98c619a
hex1e4c8b18b0

130133203120 has 80 divisors (see below), whose sum is σ = 306472170240. Its totient is φ = 51383630592.

The previous prime is 130133203087. The next prime is 130133203127. The reversal of 130133203120 is 21302331031.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (130133203127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2395621 + ... + 2449339.

It is an arithmetic number, because the mean of its divisors is an integer number (3830902128).

Almost surely, 2130133203120 is an apocalyptic number.

130133203120 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 130133203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153236085120).

130133203120 is an abundant number, since it is smaller than the sum of its proper divisors (176338967120).

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

130133203120 is a wasteful number, since it uses less digits than its factorization.

130133203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54122 (or 54116 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 130133203120 its reverse (21302331031), we get a palindrome (151435534151).

The spelling of 130133203120 in words is "one hundred thirty billion, one hundred thirty-three million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 283 428 535 566 856 1070 1132 1415 1712 2140 2264 2830 4280 4528 5660 8560 11320 22640 30281 53719 60562 107438 121124 151405 214876 242248 268595 302810 429752 484496 537190 605620 859504 1074380 1211240 2148760 2422480 4297520 5747933 11495866 15202477 22991732 28739665 30404954 45983464 57479330 60809908 76012385 91966928 114958660 121619816 152024770 229917320 243239632 304049540 459834640 608099080 1216198160 1626665039 3253330078 6506660156 8133325195 13013320312 16266650390 26026640624 32533300780 65066601560 130133203120