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11110052105141 = 11172110912912441
BaseRepresentation
bin1010000110101100001010…
…1101011000101110110101
31110100002222122002212111112
42201223002231120232311
52424011341314331031
635343515410044405
72224450306506653
oct241530255305665
943302878085445
1011110052105141
1135a3823858420
1212b5251b79705
1362789a6655b2
142a5a2d63ddd3
15143ee814562b
hexa1ac2b58bb5

11110052105141 has 48 divisors (see below), whose sum is σ = 12901813911360. Its totient is φ = 9486110976000.

The previous prime is 11110052105081. The next prime is 11110052105147. The reversal of 11110052105141 is 14150125001111.

11110052105141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11110052105141 - 210 = 11110052104117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110052105147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4551433481 + ... + 4551435921.

It is an arithmetic number, because the mean of its divisors is an integer number (268787789820).

Almost surely, 211110052105141 is an apocalyptic number.

11110052105141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110052105141 is a deficient number, since it is larger than the sum of its proper divisors (1791761806219).

11110052105141 is a wasteful number, since it uses less digits than its factorization.

11110052105141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4886 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 23.

Adding to 11110052105141 its reverse (14150125001111), we get a palindrome (25260177106252).

The spelling of 11110052105141 in words is "eleven trillion, one hundred ten billion, fifty-two million, one hundred five thousand, one hundred forty-one".

Divisors: 1 11 17 187 289 1109 1291 2441 3179 12199 14201 18853 21947 26851 41497 207383 241417 320501 373099 456467 705449 1431719 2707069 3151331 3525511 4104089 7759939 15748909 24339223 29777759 34664641 46020173 53572627 267731453 413766791 506221903 589298897 782342941 910734659 3494826079 4551434701 8605772351 10018081249 38443086869 59412043343 653532476773 1010004736831 11110052105141