Search a number
-
+
130999050 = 232527213457
BaseRepresentation
bin1111100111011…
…10001100001010
3100010111102220200
413303232030022
5232013432200
620555433030
73150321300
oct763561412
9303442820
10130999050
1167a44586
1237a55776
13211a8440
1413580270
15b779800
hex7cee30a

130999050 has 216 divisors, whose sum is σ = 441870156. Its totient is φ = 27578880.

The previous prime is 130999039. The next prime is 130999051. The reversal of 130999050 is 50999031.

It can be written as a sum of positive squares in 6 ways, for example, as 48316401 + 82682649 = 6951^2 + 9093^2 .

It is a super-2 number, since 2×1309990502 = 34321502201805000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130998996 and 130999014.

It is not an unprimeable number, because it can be changed into a prime (130999051) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 286422 + ... + 286878.

Almost surely, 2130999050 is an apocalyptic number.

130999050 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 130999050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220935078).

130999050 is an abundant number, since it is smaller than the sum of its proper divisors (310871106).

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

130999050 is a wasteful number, since it uses less digits than its factorization.

130999050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 130999050 is about 11445.4816412417. The cubic root of 130999050 is about 507.8740801219.

The spelling of 130999050 in words is "one hundred thirty million, nine hundred ninety-nine thousand, fifty".