Search a number
-
+
130125150 = 23352113853
BaseRepresentation
bin1111100000110…
…00110101011110
3100001212001011000
413300120311132
5231303001100
620525011130
73140021421
oct760306536
9301761130
10130125150
11674a7a51
12376b3aa6
1320c6073c
14133d39b8
15b655900
hex7c18d5e

130125150 has 96 divisors (see below), whose sum is σ = 362164320. Its totient is φ = 34352640.

The previous prime is 130125143. The next prime is 130125173. The reversal of 130125150 is 51521031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 152124 + ... + 152976.

It is an arithmetic number, because the mean of its divisors is an integer number (3772545).

Almost surely, 2130125150 is an apocalyptic number.

130125150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130125150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181082160).

130125150 is an abundant number, since it is smaller than the sum of its proper divisors (232039170).

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

130125150 is a wasteful number, since it uses less digits than its factorization.

130125150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 130125150 is about 11407.2411213229. The cubic root of 130125150 is about 506.7422099003.

Adding to 130125150 its reverse (51521031), we get a palindrome (181646181).

The spelling of 130125150 in words is "one hundred thirty million, one hundred twenty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 113 135 150 225 226 270 339 450 565 675 678 853 1017 1130 1350 1695 1706 2034 2559 2825 3051 3390 4265 5085 5118 5650 6102 7677 8475 8530 10170 12795 15255 15354 16950 21325 23031 25425 25590 30510 38385 42650 46062 50850 63975 76275 76770 96389 115155 127950 152550 191925 192778 230310 289167 383850 481945 575775 578334 867501 963890 1151550 1445835 1735002 2409725 2602503 2891670 4337505 4819450 5205006 7229175 8675010 13012515 14458350 21687525 26025030 43375050 65062575 130125150