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11110114000216 = 23711231315986027
BaseRepresentation
bin1010000110101100011001…
…1001011111110101011000
31110100010010221120110120201
42201223012121133311120
52424012003141001331
635343525500431544
72224451660556040
oct241530631376530
943303127513521
1011110114000216
1135a3855793080
1212b526a8485b4
136278aa426cba
142a5a37952720
15143eed7bea61
hexa1ac665fd58

11110114000216 has 128 divisors (see below), whose sum is σ = 27307780853760. Its totient is φ = 4108808246400.

The previous prime is 11110114000211. The next prime is 11110114000229. The reversal of 11110114000216 is 61200041101111.

It is a junction number, because it is equal to n+sod(n) for n = 11110114000193 and 11110114000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110114000211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1137006 + ... + 4849021.

It is an arithmetic number, because the mean of its divisors is an integer number (213342037920).

Almost surely, 211110114000216 is an apocalyptic number.

It is an amenable number.

11110114000216 is an abundant number, since it is smaller than the sum of its proper divisors (16197666853544).

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

11110114000216 is a wasteful number, since it uses less digits than its factorization.

11110114000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986205 (or 5986201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 11110114000216 its reverse (61200041101111), we get a palindrome (72310155101327).

The spelling of 11110114000216 in words is "eleven trillion, one hundred ten billion, one hundred fourteen million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 131 154 161 184 253 262 308 322 506 524 616 644 917 1012 1048 1288 1441 1771 1834 2024 2882 3013 3542 3668 5764 6026 7084 7336 10087 11528 12052 14168 20174 21091 24104 33143 40348 42182 66286 80696 84364 132572 168728 232001 265144 464002 928004 1856008 5986027 11972054 23944108 41902189 47888216 65846297 83804378 131692594 137678621 167608756 263385188 275357242 335217512 460924079 526770376 550714484 784169537 921848158 963750347 1101428968 1514464831 1568339074 1843696316 1927500694 3028929662 3136678148 3687392632 3855001388 5489186759 6057859324 6273356296 7710002776 8625864907 10601253817 10978373518 12115718648 17251729814 18035899351 21202507634 21956747036 34503459628 36071798702 42405015268 43913494072 60381054349 69006919256 72143597404 84810030536 120762108698 126251295457 144287194808 198394892861 241524217396 252502590914 396789785722 483048434792 505005181828 793579571444 1010010363656 1388764250027 1587159142888 2777528500054 5555057000108 11110114000216