Search a number
-
+
130302000 = 24335319127
BaseRepresentation
bin1111100010001…
…00000000110000
3100002012000202000
413301010000300
5231324131000
620532454000
73141356133
oct761040060
9302160660
10130302000
1167608904
123777a300
1320cc309a
141343c21a
15b68d000
hex7c44030

130302000 has 320 divisors, whose sum is σ = 495206400. Its totient is φ = 32659200.

The previous prime is 130301999. The next prime is 130302013. The reversal of 130302000 is 203031.

It is a happy number.

It is a super-2 number, since 2×1303020002 = 33957222408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025937 + ... + 1026063.

It is an arithmetic number, because the mean of its divisors is an integer number (1547520).

Almost surely, 2130302000 is an apocalyptic number.

130302000 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 130302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247603200).

130302000 is an abundant number, since it is smaller than the sum of its proper divisors (364904400).

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

130302000 is a wasteful number, since it uses less digits than its factorization.

130302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130302000 is about 11414.9901445424. The cubic root of 130302000 is about 506.9716730786.

Adding to 130302000 its reverse (203031), we get a palindrome (130505031).

The spelling of 130302000 in words is "one hundred thirty million, three hundred two thousand".