Search a number
-
+
130131200 = 285220333
BaseRepresentation
bin1111100000110…
…10010100000000
3100001212100110002
413300122110000
5231303144300
620525055132
73140045153
oct760322400
9301770402
10130131200
1167501551
12376b74a8
1320c63414
14133d5c9a
15b6575d5
hex7c1a500

130131200 has 54 divisors (see below), whose sum is σ = 322110894. Its totient is φ = 52049920.

The previous prime is 130131191. The next prime is 130131229. The reversal of 130131200 is 2131031.

It can be written as a sum of positive squares in 3 ways, for example, as 35808256 + 94322944 = 5984^2 + 9712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3767 + ... + 16566.

Almost surely, 2130131200 is an apocalyptic number.

130131200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130131200 is an abundant number, since it is smaller than the sum of its proper divisors (191979694).

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

130131200 is an equidigital number, since it uses as much as digits as its factorization.

130131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20359 (or 20340 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 130131200 is about 11407.5063006776. The cubic root of 130131200 is about 506.7500632191.

Adding to 130131200 its reverse (2131031), we get a palindrome (132262231).

The spelling of 130131200 in words is "one hundred thirty million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 20333 40666 81332 101665 162664 203330 325328 406660 508325 650656 813320 1016650 1301312 1626640 2033300 2602624 3253280 4066600 5205248 6506560 8133200 13013120 16266400 26026240 32532800 65065600 130131200