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130113300 = 2235223109173
BaseRepresentation
bin1111100000101…
…01111100010100
3100001211102220010
413300111330110
5231302111200
620524440220
73136642032
oct760257424
9301742803
10130113300
116749a059
12376a9070
1320c58225
14133cd552
15b652150
hex7c15f14

130113300 has 144 divisors (see below), whose sum is σ = 398724480. Its totient is φ = 32693760.

The previous prime is 130113289. The next prime is 130113301. The reversal of 130113300 is 3311031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752014 + ... + 752186.

It is an arithmetic number, because the mean of its divisors is an integer number (2768920).

Almost surely, 2130113300 is an apocalyptic number.

130113300 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 130113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199362240).

130113300 is an abundant number, since it is smaller than the sum of its proper divisors (268611180).

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

130113300 is a wasteful number, since it uses less digits than its factorization.

130113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 130113300 is about 11406.7217025752. The cubic root of 130113300 is about 506.7268270746.

Adding to 130113300 its reverse (3311031), we get a palindrome (133424331).

The spelling of 130113300 in words is "one hundred thirty million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 109 115 138 150 173 218 230 276 300 327 345 346 436 460 519 545 575 654 690 692 865 1038 1090 1150 1308 1380 1635 1725 1730 2076 2180 2300 2507 2595 2725 3270 3450 3460 3979 4325 5014 5190 5450 6540 6900 7521 7958 8175 8650 10028 10380 10900 11937 12535 12975 15042 15916 16350 17300 18857 19895 23874 25070 25950 30084 32700 37605 37714 39790 47748 50140 51900 56571 59685 62675 75210 75428 79580 94285 99475 113142 119370 125350 150420 188025 188570 198950 226284 238740 250700 282855 298425 376050 377140 397900 433711 471425 565710 596850 752100 867422 942850 1131420 1193700 1301133 1414275 1734844 1885700 2168555 2602266 2828550 4337110 5204532 5657100 6505665 8674220 10842775 13011330 21685550 26022660 32528325 43371100 65056650 130113300