Search a number
-
+
112112011200114 = 232172543144073583
BaseRepresentation
bin11001011111011100011100…
…100110100100011001110010
3112200221210200211020011100100
4121133130130212210121302
5104143320344331400424
61034235314045333230
732420553102515352
oct3137343446443162
9480853624204310
10112112011200114
11327a4489628542
12106a8085867216
134a7316a8cb963
141d98370b46b62
15ce645615ddc9
hex65f71c9a4672

112112011200114 has 48 divisors (see below), whose sum is σ = 257299284782592. Its totient is φ = 35158564362624.

The previous prime is 112112011200109. The next prime is 112112011200149. The reversal of 112112011200114 is 411002110211211.

It is a super-2 number, since 2×1121120112001142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71258634 + ... + 72814949.

It is an arithmetic number, because the mean of its divisors is an integer number (5360401766304).

Almost surely, 2112112011200114 is an apocalyptic number.

112112011200114 is an abundant number, since it is smaller than the sum of its proper divisors (145187273582478).

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

112112011200114 is a wasteful number, since it uses less digits than its factorization.

112112011200114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144076151 (or 144076148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112011200114 its reverse (411002110211211), we get a palindrome (523114121411325).

The spelling of 112112011200114 in words is "one hundred twelve trillion, one hundred twelve billion, eleven million, two hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2543 5086 7629 15258 22887 43231 45774 86462 129693 259386 389079 778158 144073583 288147166 432220749 864441498 1296662247 2449250911 2593324494 4898501822 7347752733 14695505466 22043258199 44086516398 366379121569 732758243138 1099137364707 2198274729414 3297412094121 6228445066673 6594824188242 12456890133346 18685335200019 37370670400038 56056005600057 112112011200114