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112112120211210 = 232572119092134709
BaseRepresentation
bin11001011111011100100011…
…000110011010011100001010
3112200221210222102100111110100
4121133130203012122130022
5104143321110233224320
61034235332542030230
732420555565221100
oct3137344306323412
9480853872314410
10112112120211210
11327a4535114159
12106a80b6278376
134a73187378b72
141d98381401c70
15ce64609e3790
hex65f72319a70a

112112120211210 has 144 divisors (see below), whose sum is σ = 339110595181800. Its totient is φ = 25623463686912.

The previous prime is 112112120211181. The next prime is 112112120211253. The reversal of 112112120211210 is 12112021211211.

It is a happy number.

112112120211210 is a `hidden beast` number, since 1 + 12 + 112 + 120 + 211 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75009439318401 + 37102680892809 = 8660799^2 + 6091197^2 .

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 71 ways as a sum of consecutive naturals, for example, 51451336 + ... + 53586044.

Almost surely, 2112112120211210 is an apocalyptic number.

112112120211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112120211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169555297590900).

112112120211210 is an abundant number, since it is smaller than the sum of its proper divisors (226998474970590).

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

112112120211210 is a wasteful number, since it uses less digits than its factorization.

112112120211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146645 (or 2146635 counting only the distinct ones).

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

Adding to 112112120211210 its reverse (12112021211211), we get a palindrome (124224141422421).

The spelling of 112112120211210 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 11909 23818 35727 59545 71454 83363 107181 119090 166726 178635 214362 250089 357270 416815 500178 535905 583541 750267 833630 1071810 1167082 1250445 1500534 1750623 2134709 2500890 2917705 3501246 3751335 4269418 5251869 5835410 6404127 7502670 8753115 10503738 10673545 12808254 14942963 17506230 19212381 21347090 26259345 29885926 32020635 38424762 44828889 52518690 64041270 74714815 89657778 96061905 104600741 134486667 149429630 192123810 209201482 224144445 268973334 313802223 448288890 523003705 627604446 672433335 941406669 1046007410 1344866670 1569011115 1882813338 3138022230 4707033345 9414066690 25422249481 50844498962 76266748443 127111247405 152533496886 177955746367 228800245329 254222494810 355911492734 381333742215 457600490658 533867239101 762667484430 889778731835 1067734478202 1144001226645 1245690224569 1601601717303 1779557463670 2288002453290 2491380449138 2669336195505 3203203434606 3737070673707 5338672391010 6228451122845 7474141347414 8008008586515 11211212021121 12456902245690 16016017173030 18685353368535 22422424042242 37370706737070 56056060105605 112112120211210