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130434012 = 223219238291
BaseRepresentation
bin1111100011001…
…00001111011100
3100002102201211100
413301210033130
5231342342022
620535353100
73142446042
oct761441734
9302381740
10130434012
1167699005
1237822790
132103b1b7
1413474392
15b6b71ac
hex7c643dc

130434012 has 72 divisors (see below), whose sum is σ = 362194560. Its totient is φ = 39394080.

The previous prime is 130433999. The next prime is 130434041. The reversal of 130434012 is 210434031.

It is a super-2 number, since 2×1304340122 = 34026062972832288, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11587 + ... + 19877.

It is an arithmetic number, because the mean of its divisors is an integer number (5030480).

Almost surely, 2130434012 is an apocalyptic number.

130434012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130434012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181097280).

130434012 is an abundant number, since it is smaller than the sum of its proper divisors (231760548).

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

130434012 is a wasteful number, since it uses less digits than its factorization.

130434012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130434012 is about 11420.7710772960. The cubic root of 130434012 is about 507.1428235743.

Adding to 130434012 its reverse (210434031), we get a palindrome (340868043).

The spelling of 130434012 in words is "one hundred thirty million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 8291 15732 16582 24873 33164 49746 74619 99492 149238 157529 190693 298476 315058 381386 472587 572079 630116 762772 945174 1144158 1417761 1716237 1890348 2288316 2835522 3432474 3623167 5671044 6864948 7246334 10869501 14492668 21739002 32608503 43478004 65217006 130434012