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130012716321 = 32312119372357
BaseRepresentation
bin111100100010101011…
…1001001110100100001
3110102120210212022010200
41321011113021310201
54112231223410241
6135421011415413
712251556566115
oct1710527116441
9412523768120
10130012716321
1150157875094
1221244bb4569
13c34c707897
146415059745
1535ae0264b6
hex1e455c9d21

130012716321 has 48 divisors (see below), whose sum is σ = 195063418368. Its totient is φ = 83357164800.

The previous prime is 130012716313. The next prime is 130012716343. The reversal of 130012716321 is 123617210031.

130012716321 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 1 + 27 + 1 + 632 + 1 = 666.

It is not a de Polignac number, because 130012716321 - 23 = 130012716313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130012716121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55159075 + ... + 55161431.

It is an arithmetic number, because the mean of its divisors is an integer number (4063821216).

Almost surely, 2130012716321 is an apocalyptic number.

It is an amenable number.

130012716321 is a deficient number, since it is larger than the sum of its proper divisors (65050702047).

130012716321 is a wasteful number, since it uses less digits than its factorization.

130012716321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 130012716321 its reverse (123617210031), we get a palindrome (253629926352).

The spelling of 130012716321 in words is "one hundred thirty billion, twelve million, seven hundred sixteen thousand, three hundred twenty-one".

Divisors: 1 3 9 31 93 211 279 633 937 1899 2357 2811 6541 7071 8433 19623 21213 29047 58869 73067 87141 197707 219201 261423 497327 593121 657603 1491981 1779363 2208509 4475943 6128917 6625527 15417137 18386751 19876581 46251411 55160253 68463779 138754233 205391337 465995399 616174011 1397986197 4193958591 14445857369 43337572107 130012716321