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130513014 = 232193591063
BaseRepresentation
bin1111100011101…
…11100001110110
3100002120202012100
413301313201312
5231402404024
620541202530
73143225262
oct761674166
9302522170
10130513014
11677423a5
1237860446
1321068148
14134950a2
15b6d07c9
hex7c77876

130513014 has 48 divisors (see below), whose sum is σ = 298771200. Its totient is φ = 41061168.

The previous prime is 130512931. The next prime is 130513027. The reversal of 130513014 is 410315031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122247 + ... + 123309.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2130513014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130513014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

130513014 is an abundant number, since it is smaller than the sum of its proper divisors (168258186).

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

130513014 is a wasteful number, since it uses less digits than its factorization.

130513014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130513014 is about 11424.2292519014. The cubic root of 130513014 is about 507.2451926074.

Adding to 130513014 its reverse (410315031), we get a palindrome (540828045).

The spelling of 130513014 in words is "one hundred thirty million, five hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 359 718 1063 1077 2126 2154 3189 3231 6378 6462 6821 9567 13642 19134 20197 20463 40394 40926 60591 61389 121182 122778 181773 363546 381617 763234 1144851 2289702 3434553 6869106 7250723 14501446 21752169 43504338 65256507 130513014