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113205061242 = 233713191212487
BaseRepresentation
bin110100101101110001…
…1000010011001111010
3101211012110021221212000
41221123203002121322
53323320443424432
6124001121201430
711115220100220
oct1513343023172
9354173257760
10113205061242
1144012340059
1219b34190276
13a8a151b350
14569cb28b10
152e2869557c
hex1a5b8c267a

113205061242 has 128 divisors (see below), whose sum is σ = 325916774400. Its totient is φ = 28284873408.

The previous prime is 113205061219. The next prime is 113205061303. The reversal of 113205061242 is 242160502311.

113205061242 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 5 + 0 + 612 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 512878 + ... + 699609.

It is an arithmetic number, because the mean of its divisors is an integer number (2546224800).

Almost surely, 2113205061242 is an apocalyptic number.

113205061242 is an abundant number, since it is smaller than the sum of its proper divisors (212711713158).

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

113205061242 is a wasteful number, since it uses less digits than its factorization.

113205061242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212537 (or 1212531 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 113205061242 its reverse (242160502311), we get a palindrome (355365563553).

The spelling of 113205061242 in words is "one hundred thirteen billion, two hundred five million, sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 91 114 117 126 133 171 182 189 234 247 266 273 342 351 378 399 494 513 546 702 741 798 819 1026 1197 1482 1638 1729 2223 2394 2457 3458 3591 4446 4914 5187 6669 7182 10374 13338 15561 31122 46683 93366 1212487 2424974 3637461 7274922 8487409 10912383 15762331 16974818 21824766 23037253 25462227 31524662 32737149 46074506 47286993 50924454 65474298 69111759 76386681 94573986 110336317 138223518 141860979 152773362 161260771 207335277 220672634 229160043 283721958 299484289 322521542 331008951 414670554 425582937 458320086 483782313 598968578 622005831 662017902 851165874 898452867 967564626 993026853 1244011662 1451346939 1796905734 1986053706 2096390023 2695358601 2902693878 2979080559 4192780046 4354040817 5390717202 5958161118 6289170069 8086075803 8708081634 12578340138 16172151606 18867510207 37735020414 56602530621 113205061242