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130010132112 = 2437419437437
BaseRepresentation
bin111100100010100110…
…1010010111010010000
3110102120122000000021020
41321011031102322100
54112230043211422
6135420440155440
712251525614020
oct1710515227220
9412518000236
10130010132112
115015636a583
1221244168b80
13c34c011573
146414985a80
1535adbb595c
hex1e45352e90

130010132112 has 80 divisors (see below), whose sum is σ = 393201416832. Its totient is φ = 36239754240.

The previous prime is 130010132017. The next prime is 130010132113. The reversal of 130010132112 is 211231010031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 130010132091 and 130010132100.

It is not an unprimeable number, because it can be changed into a prime (130010132113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4704943 + ... + 4732494.

Almost surely, 2130010132112 is an apocalyptic number.

130010132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130010132112 is an abundant number, since it is smaller than the sum of its proper divisors (263191284720).

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

130010132112 is a wasteful number, since it uses less digits than its factorization.

130010132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437496 (or 9437490 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 130010132112 its reverse (211231010031), we get a palindrome (341241142143).

The spelling of 130010132112 in words is "one hundred thirty billion, ten million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 9437437 18874874 28312311 37749748 56624622 66062059 75499496 113249244 132124118 150998992 198186177 226498488 264248236 386934917 396372354 452996976 528496472 773869834 792744708 1056992944 1160804751 1547739668 1585489416 2321609502 2708544419 3095479336 3170978832 4643219004 5417088838 6190958672 8125633257 9286438008 10834177676 16251266514 18572876016 21668355352 32502533028 43336710704 65005066056 130010132112