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112110211012122 = 2351051228795971
BaseRepresentation
bin11001011111011010110001…
…010011011001011000011010
3112200221122001100212010200000
4121133122301103121120122
5104143303203004341442
61034234415301153430
732420460353256021
oct3137326123313032
9480848040763600
10112110211012122
11327a3745455674
12106a78629bb876
134a72c4197416b
141d9823da218b8
15ce639d0b9d4c
hex65f6b14d961a

112110211012122 has 96 divisors (see below), whose sum is σ = 252254512333824. Its totient is φ = 37317800142000.

The previous prime is 112110211012027. The next prime is 112110211012159. The reversal of 112110211012122 is 221210112011211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 112110211012095 and 112110211012104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168119597 + ... + 1168215567.

It is an arithmetic number, because the mean of its divisors is an integer number (2627651170144).

Almost surely, 2112110211012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112110211012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126127256166912).

112110211012122 is an abundant number, since it is smaller than the sum of its proper divisors (140144301321702).

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

112110211012122 is a wasteful number, since it uses less digits than its factorization.

112110211012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99326 (or 99314 counting only the distinct ones).

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

Adding to 112110211012122 its reverse (221210112011211), we get a palindrome (333320323023333).

The spelling of 112110211012122 in words is "one hundred twelve trillion, one hundred ten billion, two hundred eleven million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 1051 2102 2287 3153 4574 6306 6861 9459 13722 18918 20583 28377 41166 56754 61749 85131 95971 123498 170262 185247 191942 255393 287913 370494 510786 555741 575826 863739 1111482 1727478 2403637 2591217 4807274 5182434 7210911 7773651 14421822 15547302 21632733 23320953 43265466 46641906 64898199 100865521 129796398 194694597 201731042 219485677 302596563 389389194 438971354 584083791 605193126 658457031 907789689 1168167582 1316914062 1815579378 1975371093 2723369067 3950742186 5446738134 5926113279 8170107201 11852226558 16340214402 17778339837 24510321603 35556679674 49020643206 53335019511 106670039022 230679446527 461358893054 692038339581 1384076679162 2076115018743 4152230037486 6228345056229 12456690112458 18685035168687 37370070337374 56055105506061 112110211012122