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10516304601243 = 347109415740933
BaseRepresentation
bin1001100100001000010010…
…0110011010000010011011
31101020100102100102112020000
42121002010212122002123
52334244342434214433
634211042412304043
72133530555136360
oct231020446320233
941210370375200
1010516304601243
113394a37873781
12121a169172023
135b38b61ab72c
14284dc5934467
15133847189113
hex9908499a09b

10516304601243 has 80 divisors (see below), whose sum is σ = 18123276346560. Its totient is φ = 5952607812864.

The previous prime is 10516304601239. The next prime is 10516304601317. The reversal of 10516304601243 is 34210640361501.

10516304601243 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 3 + 0 + 4 + 601 + 2 + 43 = 666.

It is not a de Polignac number, because 10516304601243 - 22 = 10516304601239 is a prime.

It is a super-2 number, since 2×105163046012432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10516304601198 and 10516304601207.

It is not an unprimeable number, because it can be changed into a prime (10516304601203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256894605 + ... + 256935537.

It is an arithmetic number, because the mean of its divisors is an integer number (226540954332).

Almost surely, 210516304601243 is an apocalyptic number.

10516304601243 is a deficient number, since it is larger than the sum of its proper divisors (7606971745317).

10516304601243 is a wasteful number, since it uses less digits than its factorization.

10516304601243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45218 (or 45209 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10516304601243 its reverse (34210640361501), we get a palindrome (44726944962744).

The spelling of 10516304601243 in words is "ten trillion, five hundred sixteen billion, three hundred four million, six hundred one thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 27 63 81 109 189 327 567 763 981 2289 2943 4157 6867 8829 12471 20601 29099 37413 40933 61803 87297 112239 122799 261891 286531 336717 368397 453113 785673 859593 1105191 1359339 2357019 2578779 3171791 3315573 4078017 4461697 7736337 9515373 12234051 13385091 23209011 28546119 31231879 36702153 40155273 85638357 93695637 120465819 170158481 256915071 281086911 361397457 510475443 843260733 1191109367 1531426329 2529782199 3573328101 4594278987 10719984303 13782836961 18547274429 32159952909 55641823287 96479858727 129830921003 166925469861 389492763009 500776409583 1168478289027 1502329228749 3505434867081 10516304601243