Search a number
-
+
130325100 = 223523759199
BaseRepresentation
bin1111100010010…
…01101001101100
3100002020012102120
413301021221230
5231330400400
620533152540
73141513363
oct761115154
9302205376
10130325100
11676241a4
123778b750
1321000759
14134467da
15b694ca0
hex7c49a6c

130325100 has 144 divisors (see below), whose sum is σ = 395808000. Its totient is φ = 33073920.

The previous prime is 130325099. The next prime is 130325119. The reversal of 130325100 is 1523031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130325100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654801 + ... + 654999.

Almost surely, 2130325100 is an apocalyptic number.

130325100 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 130325100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904000).

130325100 is an abundant number, since it is smaller than the sum of its proper divisors (265482900).

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

130325100 is a wasteful number, since it uses less digits than its factorization.

130325100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 130325100 is about 11416.0019271197. The cubic root of 130325100 is about 507.0016300342.

Adding to 130325100 its reverse (1523031), we get a palindrome (131848131).

The spelling of 130325100 in words is "one hundred thirty million, three hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 59 60 74 75 100 111 118 148 150 177 185 199 222 236 295 300 354 370 398 444 555 590 597 708 740 796 885 925 995 1110 1180 1194 1475 1770 1850 1990 2183 2220 2388 2775 2950 2985 3540 3700 3980 4366 4425 4975 5550 5900 5970 6549 7363 8732 8850 9950 10915 11100 11741 11940 13098 14726 14925 17700 19900 21830 22089 23482 26196 29452 29850 32745 35223 36815 43660 44178 46964 54575 58705 59700 65490 70446 73630 88356 109150 110445 117410 130980 140892 147260 163725 176115 184075 218300 220890 234820 293525 327450 352230 368150 434417 441780 552225 587050 654900 704460 736300 868834 880575 1104450 1174100 1303251 1737668 1761150 2172085 2208900 2606502 3522300 4344170 5213004 6516255 8688340 10860425 13032510 21720850 26065020 32581275 43441700 65162550 130325100