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130110123033 = 321121723319857
BaseRepresentation
bin111100100101100101…
…0101110110000011001
3110102211121011002000200
41321023022232300121
54112431142414113
6135434411252413
712254151540522
oct1711312566031
9412747132020
10130110123033
11501a7855200
122127174a109
13c366950ba7
146423d73849
1535b7867873
hex1e4b2aec19

130110123033 has 144 divisors (see below), whose sum is σ = 235622919168. Its totient is φ = 68692377600.

The previous prime is 130110123029. The next prime is 130110123049. The reversal of 130110123033 is 330321011031.

It is a happy number.

130110123033 is a `hidden beast` number, since 1 + 301 + 101 + 230 + 33 = 666.

It is not a de Polignac number, because 130110123033 - 22 = 130110123029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130110122997 and 130110123015.

It is not an unprimeable number, because it can be changed into a prime (130110123053) 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 143 ways as a sum of consecutive naturals, for example, 13194841 + ... + 13204697.

It is an arithmetic number, because the mean of its divisors is an integer number (1636270272).

Almost surely, 2130110123033 is an apocalyptic number.

It is an amenable number.

130110123033 is a deficient number, since it is larger than the sum of its proper divisors (105512796135).

130110123033 is a wasteful number, since it uses less digits than its factorization.

130110123033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9942 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130110123033 its reverse (330321011031), we get a palindrome (460431134064).

The spelling of 130110123033 in words is "one hundred thirty billion, one hundred ten million, one hundred twenty-three thousand, thirty-three".

Divisors: 1 3 9 11 17 23 31 33 51 69 93 99 121 153 187 207 253 279 341 363 391 527 561 713 759 1023 1089 1173 1581 1683 2057 2139 2277 2783 3069 3519 3751 4301 4743 5797 6171 6417 7843 8349 9857 11253 12121 12903 17391 18513 23529 25047 29571 33759 36363 38709 47311 52173 63767 70587 86273 88713 108427 109089 133331 141933 167569 191301 226711 258819 305567 325281 399993 425799 502707 573903 680133 776457 916701 975843 1192697 1199979 1466641 1508121 1843259 2040399 2493821 2750103 3361237 3578091 3854087 4399923 5194639 5529777 7028041 7481463 10083711 10734273 11562261 13199769 15583917 16589331 20275849 21084123 22444389 27432031 30251133 34686783 36973607 42394957 46751751 57141029 60827547 63252369 77308451 82296093 110920821 119476697 127184871 171423087 182482641 231925353 246888279 332762463 358430091 381554613 466344527 514269261 628551319 695776059 850392961 1075290273 1314243667 1399033581 1885653957 2551178883 3942731001 4197100743 5656961871 7653536649 11828193003 14456680337 43370041011 130110123033