Search a number
-
+
130140133224 = 23319228353077
BaseRepresentation
bin111100100110011110…
…1001101011101101000
3110102220200121202021020
41321030331031131220
54113011333230344
6135441402412440
712254664611013
oct1711475153550
9412820552236
10130140133224
1150212792312
122127b801120
13c36cc2a6ba
146427d4637a
1535ba2e4719
hex1e4cf4d768

130140133224 has 96 divisors (see below), whose sum is σ = 344595114720. Its totient is φ = 40950893952.

The previous prime is 130140133199. The next prime is 130140133247. The reversal of 130140133224 is 422331041031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130140133194 and 130140133203.

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, 2425374 + ... + 2478450.

It is an arithmetic number, because the mean of its divisors is an integer number (3589532445).

Almost surely, 2130140133224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130140133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172297557360).

130140133224 is an abundant number, since it is smaller than the sum of its proper divisors (214454981496).

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

130140133224 is a wasteful number, since it uses less digits than its factorization.

130140133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53407 (or 53384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130140133224 its reverse (422331041031), we get a palindrome (552471174255).

The spelling of 130140133224 in words is "one hundred thirty billion, one hundred forty million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 283 361 456 566 722 849 1083 1132 1444 1698 2166 2264 2888 3396 4332 5377 6792 8664 10754 16131 21508 32262 43016 53077 64524 102163 106154 129048 159231 204326 212308 306489 318462 408652 424616 612978 636924 817304 1008463 1225956 1273848 2016926 2451912 3025389 4033852 6050778 8067704 12101556 15020791 19160797 24203112 30041582 38321594 45062373 57482391 60083164 76643188 90124746 114964782 120166328 153286376 180249492 229929564 285395029 360498984 459859128 570790058 856185087 1141580116 1712370174 2283160232 3424740348 5422505551 6849480696 10845011102 16267516653 21690022204 32535033306 43380044408 65070066612 130140133224