Search a number
-
+
13104310120022 = 211172331118232687
BaseRepresentation
bin1011111010110001010110…
…1111111110111001010110
31201101202111220101122200002
42332230111233332321112
53204200111342320042
643512011552251302
72521520010112442
oct276542557767126
951352456348602
1013104310120022
1141a2563485860
121577852b40b32
1374096741b724
14334375685822
1517ad16ea4132
hexbeb15bfee56

13104310120022 has 128 divisors (see below), whose sum is σ = 23790027276288. Its totient is φ = 5340214950400.

The previous prime is 13104310120009. The next prime is 13104310120049. The reversal of 13104310120022 is 22002101340131.

It is a super-2 number, since 2×131043101200222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13104310119976 and 13104310120003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4876928363 + ... + 4876931049.

It is an arithmetic number, because the mean of its divisors is an integer number (185859588096).

Almost surely, 213104310120022 is an apocalyptic number.

13104310120022 is a deficient number, since it is larger than the sum of its proper divisors (10685717156266).

13104310120022 is a wasteful number, since it uses less digits than its factorization.

13104310120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13104310120022 its reverse (22002101340131), we get a palindrome (35106411460153).

The spelling of 13104310120022 in words is "thirteen trillion, one hundred four billion, three hundred ten million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 11 17 22 23 34 46 187 253 311 374 391 506 622 782 1823 2687 3421 3646 4301 5287 5374 6842 7153 8602 10574 14306 20053 29557 30991 40106 41929 45679 58157 59114 61801 61982 78683 83858 91358 116314 121601 123602 157366 243202 340901 461219 502469 566953 679811 681802 712793 835657 922438 1004938 1050617 1133906 1337611 1359622 1425586 1671314 2101234 2675222 4898401 6236483 7840723 9192227 9638201 9796802 11556787 12472966 13039919 14206169 15681446 18384454 19220111 19276402 23113574 26079838 28412338 38440222 53882411 83272817 106020211 107764822 112663223 143439109 156267859 166545634 211421221 212040422 221678623 225326446 286878218 312535718 326741887 422842442 443357246 653483774 916000987 1239295453 1523402711 1832001974 1915274791 2438464853 2478590906 3046805422 3594160757 3830549582 4876929706 7188321514 16757429821 21068022701 25897846087 33514859642 35038262353 42136045402 51795692174 70076524706 284876306957 385420885883 569752613914 595650460001 770841771766 1191300920002 6552155060011 13104310120022