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130431224412 = 223229314030133
BaseRepresentation
bin111100101111001001…
…1101000101001011100
3110110122222100201022100
41321132103220221130
54114110343140122
6135530321445100
712265131054246
oct1713623505134
9413588321270
10130431224412
1150352031445
12213411a0790
13c3b83294c8
14645487b096
1535d5b43aac
hex1e5e4e8a5c

130431224412 has 72 divisors (see below), whose sum is σ = 352072506240. Its totient is φ = 40623730560.

The previous prime is 130431224369. The next prime is 130431224437. The reversal of 130431224412 is 214422134031.

130431224412 is a `hidden beast` number, since 1 + 3 + 0 + 431 + 224 + 4 + 1 + 2 = 666.

130431224412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1304312244122 (a number of 23 digits) contains 22 as substring.

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, 1982703 + ... + 2047430.

It is an arithmetic number, because the mean of its divisors is an integer number (4889895920).

Almost surely, 2130431224412 is an apocalyptic number.

130431224412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130431224412 is an abundant number, since it is smaller than the sum of its proper divisors (221641281828).

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

130431224412 is a wasteful number, since it uses less digits than its factorization.

130431224412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030203 (or 4030198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 130431224412 its reverse (214422134031), we get a palindrome (344853358443).

The spelling of 130431224412 in words is "one hundred thirty billion, four hundred thirty-one million, two hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32364 4030133 8060266 12090399 16120532 24180798 36271197 48361596 72542394 116873857 124934123 145084788 233747714 249868246 350621571 374802369 467495428 499736492 701243142 749604738 1051864713 1124407107 1402486284 1499209476 2103729426 2248814214 3623089567 4207458852 4497628428 7246179134 10869268701 14492358268 21738537402 32607806103 43477074804 65215612206 130431224412