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130302 = 23319127
BaseRepresentation
bin11111110011111110
320121202000
4133303332
513132202
62443130
71051614
oct376376
9217660
10130302
1189997
12634a6
1347403
14356b4
152891c
hex1fcfe

130302 has 32 divisors (see below), whose sum is σ = 307200. Its totient is φ = 40824.

The previous prime is 130279. The next prime is 130303. The reversal of 130302 is 203031.

It is a happy number.

It is a super-2 number, since 2×1303022 = 33957222408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (9600).

2130302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153600).

130302 is an abundant number, since it is smaller than the sum of its proper divisors (176898).

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

130302 is a wasteful number, since it uses less digits than its factorization.

130302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 151 counting only the distinct ones).

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

The square root of 130302 is about 360.9736832513. The cubic root of 130302 is about 50.6971673079.

Adding to 130302 its reverse (203031), we get a palindrome (333333).

It can be divided in two parts, 1 and 30302, that added together give a palindrome (30303).

The spelling of 130302 in words is "one hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 127 171 254 342 381 513 762 1026 1143 2286 2413 3429 4826 6858 7239 14478 21717 43434 65151 130302