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112112202200112 = 24321758778019537
BaseRepresentation
bin11001011111011100100111…
…111111001011010000110000
3112200221211012010121222002100
4121133130213333023100300
5104143321242230400422
61034235345031220400
732420560612136562
oct3137344777132060
9480854163558070
10112112202200112
11327a4577423684
12106a8119817700
134a7319b3545ca
141d9838c265332
15ce6467cdb7ac
hex65f727fcb430

112112202200112 has 120 divisors (see below), whose sum is σ = 332780792447376. Its totient is φ = 35112536137728.

The previous prime is 112112202200029. The next prime is 112112202200113. The reversal of 112112202200112 is 211002202211211.

112112202200112 is a `hidden beast` number, since 1 + 1 + 211 + 220 + 220 + 0 + 1 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112112202200113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37572793 + ... + 40446744.

Almost surely, 2112112202200112 is an apocalyptic number.

112112202200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112112202200112 is an abundant number, since it is smaller than the sum of its proper divisors (220668590247264).

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

112112202200112 is a wasteful number, since it uses less digits than its factorization.

112112202200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78020155 (or 78020146 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112112202200112 its reverse (211002202211211), we get a palindrome (323114404411323).

The spelling of 112112202200112 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred two million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 587 612 816 1174 1224 1761 2348 2448 3522 4696 5283 7044 9392 9979 10566 14088 19958 21132 28176 29937 39916 42264 59874 79832 84528 89811 119748 159664 179622 239496 359244 478992 718488 1436976 78019537 156039074 234058611 312078148 468117222 624156296 702175833 936234444 1248312592 1326332129 1404351666 1872468888 2652664258 2808703332 3744937776 3978996387 5305328516 5617406664 7957992774 10610657032 11234813328 11936989161 15915985548 21221314064 23873978322 31831971096 45797468219 47747956644 63663942192 91594936438 95495913288 137392404657 183189872876 190991826576 274784809314 366379745752 412177213971 549569618628 732759491504 778556959723 824354427942 1099139237256 1557113919446 1648708855884 2198278474512 2335670879169 3114227838892 3297417711768 4671341758338 6228455677784 6594835423536 7007012637507 9342683516676 12456911355568 14014025275014 18685367033352 28028050550028 37370734066704 56056101100056 112112202200112