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130043104 = 25231091621
BaseRepresentation
bin1111100000001…
…00110011100000
3100001200212121021
413300010303200
5231242334404
620523135224
73136230262
oct760046340
9301625537
10130043104
1167451344
1237674514
1320c322a9
14133b1b32
15b63b454
hex7c04ce0

130043104 has 48 divisors (see below), whose sum is σ = 269771040. Its totient is φ = 61585920.

The previous prime is 130043099. The next prime is 130043129. The reversal of 130043104 is 401340031.

It is a super-2 number, since 2×1300431042 = 33822417795909632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79414 + ... + 81034.

It is an arithmetic number, because the mean of its divisors is an integer number (5620230).

Almost surely, 2130043104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134885520).

130043104 is an abundant number, since it is smaller than the sum of its proper divisors (139727936).

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

130043104 is a wasteful number, since it uses less digits than its factorization.

130043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130043104 is about 11403.6443297746. The cubic root of 130043104 is about 506.6356844705.

Adding to 130043104 its reverse (401340031), we get a palindrome (531383135).

The spelling of 130043104 in words is "one hundred thirty million, forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 109 184 218 368 436 736 872 1621 1744 2507 3242 3488 5014 6484 10028 12968 20056 25936 37283 40112 51872 74566 80224 149132 176689 298264 353378 596528 706756 1193056 1413512 2827024 4063847 5654048 8127694 16255388 32510776 65021552 130043104