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130434403304 = 23731285317377
BaseRepresentation
bin111100101111001111…
…1110000101111101000
3110110200012100012221002
41321132133300233220
54114112201401204
6135530513534132
712265200064202
oct1713637605750
9413605305832
10130434403304
1150353902827
1221342274348
13c3b8ba03ca
146455067772
1535d607091e
hex1e5e7f0be8

130434403304 has 32 divisors (see below), whose sum is σ = 247948261320. Its totient is φ = 64315109376.

The previous prime is 130434403301. The next prime is 130434403339. The reversal of 130434403304 is 403304434031.

It can be written as a sum of positive squares in 4 ways, for example, as 68282916100 + 62151487204 = 261310^2 + 249302^2 .

It is a super-2 number, since 2×1304344033042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130434403301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7497464 + ... + 7514840.

Almost surely, 2130434403304 is an apocalyptic number.

It is an amenable number.

130434403304 is a deficient number, since it is larger than the sum of its proper divisors (117513858016).

130434403304 is a wasteful number, since it uses less digits than its factorization.

130434403304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30309 (or 30305 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 130434403304 its reverse (403304434031), we get a palindrome (533738837335).

The spelling of 130434403304 in words is "one hundred thirty billion, four hundred thirty-four million, four hundred three thousand, three hundred four".

Divisors: 1 2 4 8 73 146 292 584 12853 17377 25706 34754 51412 69508 102824 139016 938269 1268521 1876538 2537042 3753076 5074084 7506152 10148168 223346581 446693162 893386324 1786772648 16304300413 32608600826 65217201652 130434403304