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130303134 = 23313419443
BaseRepresentation
bin1111100010001…
…00010010011110
3100002012002022000
413301010102132
5231324200014
620532503130
73141362343
oct761042236
9302162260
10130303134
1167609745
123777aaa6
1320cc3760
141343c7ca
15b68d509
hex7c4449e

130303134 has 64 divisors (see below), whose sum is σ = 313286400. Its totient is φ = 39907296.

The previous prime is 130303133. The next prime is 130303163. The reversal of 130303134 is 431303031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303133) 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 31 ways as a sum of consecutive naturals, for example, 293917 + ... + 294359.

It is an arithmetic number, because the mean of its divisors is an integer number (4895100).

Almost surely, 2130303134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130303134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156643200).

130303134 is an abundant number, since it is smaller than the sum of its proper divisors (182983266).

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

130303134 is a wasteful number, since it uses less digits than its factorization.

130303134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130303134 is about 11415.0398159621. The cubic root of 130303134 is about 506.9731437754.

Adding to 130303134 its reverse (431303031), we get a palindrome (561606165).

The spelling of 130303134 in words is "one hundred thirty million, three hundred three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 419 443 702 838 886 1257 1329 2514 2658 3771 3987 5447 5759 7542 7974 10894 11313 11518 11961 16341 17277 22626 23922 32682 34554 49023 51831 98046 103662 147069 155493 185617 294138 310986 371234 556851 1113702 1670553 2413021 3341106 4826042 5011659 7239063 10023318 14478126 21717189 43434378 65151567 130303134