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10610061051114 = 23274739332207
BaseRepresentation
bin1001101001100101100011…
…1010111000010011101010
31101120022102101201122211100
42122121120322320103222
52342313401112113424
634322110022342230
72143360126620000
oct232313072702352
941508371648740
1010610061051114
113420779950198
121234373b8a976
135bc6a832a6c5
1428975b6a8a70
15135ed31ccdc9
hex9a658eb84ea

10610061051114 has 120 divisors (see below), whose sum is σ = 26854651586880. Its totient is φ = 3027334809744.

The previous prime is 10610061051067. The next prime is 10610061051127. The reversal of 10610061051114 is 41115016001601.

10610061051114 is a `hidden beast` number, since 10 + 6 + 10 + 0 + 610 + 5 + 11 + 14 = 666.

10610061051114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106100610511142 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31771999 + ... + 32104205.

It is an arithmetic number, because the mean of its divisors is an integer number (223788763224).

Almost surely, 210610061051114 is an apocalyptic number.

10610061051114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10610061051114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427325793440).

10610061051114 is an abundant number, since it is smaller than the sum of its proper divisors (16244590535766).

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

10610061051114 is an equidigital number, since it uses as much as digits as its factorization.

10610061051114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332982 (or 332958 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 10610061051114 its reverse (41115016001601), we get a palindrome (51725077052715).

The spelling of 10610061051114 in words is "ten trillion, six hundred ten billion, sixty-one million, fifty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 739 882 1029 1478 2058 2217 2401 3087 4434 4802 5173 6174 6651 7203 10346 13302 14406 15519 21609 31038 36211 43218 46557 72422 93114 108633 217266 253477 325899 332207 506954 651798 664414 760431 996621 1520862 1774339 1993242 2281293 2325449 2989863 3548678 4562586 4650898 5323017 5979726 6976347 10646034 13952694 15969051 16278143 20929041 31938102 32556286 41858082 48834429 97668858 113947001 146503287 227894002 245500973 293006574 341841003 491001946 683682006 736502919 797629007 1025523009 1473005838 1595258014 1718506811 2051046018 2209508757 2392887021 3437013622 4419017514 4785774042 5155520433 7178661063 10311040866 12029547677 14357322126 15466561299 24059095354 30933122598 36088643031 72177286062 84206833739 108265929093 168413667478 216531858186 252620501217 505241002434 589447836173 757861503651 1178895672346 1515723007302 1768343508519 3536687017038 5305030525557 10610061051114