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130322211201 = 3371372772959
BaseRepresentation
bin111100101011111001…
…1110010000110000001
3110110101101020021022000
41321113303302012001
54113344441224301
6135511425134213
712262335342420
oct1712763620601
9413341207260
10130322211201
11502a6544186
122131078a369
13c39b87b350
1464441c12b7
1535cb2ad786
hex1e57cf2181

130322211201 has 64 divisors (see below), whose sum is σ = 237954662400. Its totient is φ = 68645890368.

The previous prime is 130322211163. The next prime is 130322211203. The reversal of 130322211201 is 102112223031.

130322211201 is a `hidden beast` number, since 130 + 322 + 2 + 11 + 201 = 666.

It is not a de Polignac number, because 130322211201 - 27 = 130322211073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130322211203) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1749760 + ... + 1822718.

It is an arithmetic number, because the mean of its divisors is an integer number (3718041600).

Almost surely, 2130322211201 is an apocalyptic number.

It is an amenable number.

130322211201 is a deficient number, since it is larger than the sum of its proper divisors (107632451199).

130322211201 is a wasteful number, since it uses less digits than its factorization.

130322211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73715 (or 73709 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130322211201 its reverse (102112223031), we get a palindrome (232434434232).

The spelling of 130322211201 in words is "one hundred thirty billion, three hundred twenty-two million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 727 819 2181 2457 5089 6543 9451 15267 19629 28353 45801 66157 72959 85059 137403 198471 218877 255177 510713 595413 656631 948467 1532139 1786239 1969893 2845401 4596417 6639269 8536203 13789251 19917807 25608609 53041193 59753421 159123579 179260263 371288351 477370737 689535509 1113865053 1432112211 2068606527 3341595159 4826748563 6205819581 10024785477 14480245689 18617458743 43440737067 130322211201