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111450066 = 237134347101
BaseRepresentation
bin1101010010010…
…01011111010010
321202201020202020
412221021133102
5212012400231
615020432310
72522211210
oct651113722
9252636666
10111450066
1157a020a2
12313a8696
131a1223b0
1410b31cb0
159bb7396
hex6a497d2

111450066 has 128 divisors (see below), whose sum is σ = 289529856. Its totient is φ = 27820800.

The previous prime is 111450047. The next prime is 111450071. The reversal of 111450066 is 660054111.

It is a super-2 number, since 2×1114500662 = 24842234422808712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1103416 + ... + 1103516.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952).

Almost surely, 2111450066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111450066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144764928).

111450066 is an abundant number, since it is smaller than the sum of its proper divisors (178079790).

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

111450066 is a wasteful number, since it uses less digits than its factorization.

111450066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 111450066 is about 10556.9913327614. The cubic root of 111450066 is about 481.2382180508.

The spelling of 111450066 in words is "one hundred eleven million, four hundred fifty thousand, sixty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 47 78 86 91 94 101 129 141 182 202 258 273 282 301 303 329 546 559 602 606 611 658 707 903 987 1118 1222 1313 1414 1677 1806 1833 1974 2021 2121 2626 3354 3666 3913 3939 4042 4242 4277 4343 4747 6063 7826 7878 8554 8686 9191 9494 11739 12126 12831 13029 14147 14241 18382 23478 25662 26058 26273 27573 28294 28482 30401 33229 42441 52546 55146 56459 60802 61711 66458 78819 84882 91203 99687 112918 123422 157638 169377 182406 183911 185133 199374 204121 338754 367822 370266 395213 408242 431977 551733 612363 790426 863954 1103466 1185639 1224726 1295931 1428847 2371278 2591862 2653573 2857694 4286541 5307146 7960719 8573082 15921438 18575011 37150022 55725033 111450066