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130963 = 753353
BaseRepresentation
bin11111111110010011
320122122111
4133332103
513142323
62450151
71053550
oct377623
9218574
10130963
118a438
1263957
13477c1
1435a27
1528c0d
hex1ff93

130963 has 8 divisors (see below), whose sum is σ = 152928. Its totient is φ = 109824.

The previous prime is 130957. The next prime is 130969. The reversal of 130963 is 369031.

It is an interprime number because it is at equal distance from previous prime (130957) and next prime (130969).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130963 is a prime.

It is a Duffinian number.

130963 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (130969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (19116).

2130963 is an apocalyptic number.

130963 is a deficient number, since it is larger than the sum of its proper divisors (21965).

130963 is an equidigital number, since it uses as much as digits as its factorization.

130963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 130963 is about 361.8881042532. Note that the first 3 decimals coincide. The cubic root of 130963 is about 50.7827488078.

Adding to 130963 its reverse (369031), we get a palindrome (499994).

The spelling of 130963 in words is "one hundred thirty thousand, nine hundred sixty-three".

Divisors: 1 7 53 353 371 2471 18709 130963