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130130344224 = 2532451841473
BaseRepresentation
bin111100100110001011…
…1110111100100100000
3110102220000012102021200
41321030113313210200
54113001332003344
6135440412521200
712254515450446
oct1711427674440
9412800172250
10130130344224
1150208206731
1221278480200
13c36abb0baa
146426918b96
1535b950e069
hex1e4c5f7920

130130344224 has 36 divisors (see below), whose sum is σ = 370058167206. Its totient is φ = 43376781312.

The previous prime is 130130344111. The next prime is 130130344237. The reversal of 130130344224 is 422443031031.

130130344224 is a `hidden beast` number, since 130 + 1 + 303 + 4 + 4 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102464010000 + 27666334224 = 320100^2 + 166332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 225920449 + ... + 225921024.

Almost surely, 2130130344224 is an apocalyptic number.

It is an amenable number.

130130344224 is an abundant number, since it is smaller than the sum of its proper divisors (239927822982).

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

130130344224 is a wasteful number, since it uses less digits than its factorization.

130130344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451841489 (or 451841478 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 130130344224 its reverse (422443031031), we get a palindrome (552573375255).

The spelling of 130130344224 in words is "one hundred thirty billion, one hundred thirty million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 451841473 903682946 1355524419 1807365892 2711048838 3614731784 4066573257 5422097676 7229463568 8133146514 10844195352 14458927136 16266293028 21688390704 32532586056 43376781408 65065172112 130130344224