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11112666516105 = 3571119349851587
BaseRepresentation
bin1010000110110101111010…
…0010100100101010001001
31110100100201211120201010020
42201231132202210222021
52424032220112003410
635345031042011053
72224602143601240
oct241553642445211
943310654521106
1011112666516105
1135a49455a6040
1212b5861646a89
13627bc61b2a2b
142a5bda953957
151440ec920a70
hexa1b5e8a4a89

11112666516105 has 64 divisors (see below), whose sum is σ = 22282463397888. Its totient is φ = 4594322165760.

The previous prime is 11112666516079. The next prime is 11112666516109. The reversal of 11112666516105 is 50161566621111.

It is not a de Polignac number, because 11112666516105 - 28 = 11112666515849 is a prime.

It is a super-2 number, since 2×111126665161052 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11112666516109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24702879 + ... + 25148708.

It is an arithmetic number, because the mean of its divisors is an integer number (348163490592).

Almost surely, 211112666516105 is an apocalyptic number.

11112666516105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11112666516105 is an abundant number, since it is smaller than the sum of its proper divisors (11169796881783).

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

11112666516105 is a wasteful number, since it uses less digits than its factorization.

11112666516105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49851806.

The product of its (nonzero) digits is 64800, while the sum is 42.

The spelling of 11112666516105 in words is "eleven trillion, one hundred twelve billion, six hundred sixty-six million, five hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 193 231 385 579 965 1155 1351 2123 2895 4053 6369 6755 10615 14861 20265 31845 44583 74305 222915 49851587 149554761 249257935 348961109 548367457 747773805 1046883327 1645102371 1744805545 2741837285 3838572199 5234416635 8225511855 9621356291 11515716597 19192860995 28864068873 48106781455 57578582985 67349494037 105834919201 144320344365 202048482111 317504757603 336747470185 529174596005 740844434407 1010242410555 1587523788015 2222533303221 3704222172035 11112666516105