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130300320 = 25354359107
BaseRepresentation
bin1111100010000…
…11100110100000
3100002011221102210
413301003212200
5231324102240
620532442120
73141351213
oct761034640
9302157383
10130300320
1167607617
1237779340
1320cc23a7
141343b77a
15b68c780
hex7c439a0

130300320 has 192 divisors, whose sum is σ = 431101440. Its totient is φ = 33051648.

The previous prime is 130300319. The next prime is 130300321. The reversal of 130300320 is 23003031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130300319) and next prime (130300321).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130300296 and 130300305.

It is not an unprimeable number, because it can be changed into a prime (130300321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217707 + ... + 1217813.

It is an arithmetic number, because the mean of its divisors is an integer number (2245320).

Almost surely, 2130300320 is an apocalyptic number.

130300320 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 130300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550720).

130300320 is an abundant number, since it is smaller than the sum of its proper divisors (300801120).

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

130300320 is a wasteful number, since it uses less digits than its factorization.

130300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 130300320 is about 11414.9165568566. The cubic root of 130300320 is about 506.9694942528.

Adding to 130300320 its reverse (23003031), we get a palindrome (153303351).

The spelling of 130300320 in words is "one hundred thirty million, three hundred thousand, three hundred twenty".