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112112110206 = 2346115175133
BaseRepresentation
bin110100001101001100…
…1110000101001111110
3101201101021201021220000
41220122121300221332
53314101200011311
6123300435335130
711046146133105
oct1503231605176
9351337637800
10112112110206
11436013aa838
121988a1514a6
13a758c67c65
1455d790303c
152db2753056
hex1a1a670a7e

112112110206 has 80 divisors (see below), whose sum is σ = 257026802208. Its totient is φ = 36514152000.

The previous prime is 112112110199. The next prime is 112112110207. The reversal of 112112110206 is 602011211211.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1454616 + ... + 1529748.

Almost surely, 2112112110206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112110206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128513401104).

112112110206 is an abundant number, since it is smaller than the sum of its proper divisors (144914692002).

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

112112110206 is a wasteful number, since it uses less digits than its factorization.

112112110206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75359 (or 75350 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112112110206 its reverse (602011211211), we get a palindrome (714123321417).

The spelling of 112112110206 in words is "one hundred twelve billion, one hundred twelve million, one hundred ten thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 151 162 183 302 366 453 549 906 1098 1359 1647 2718 3294 4077 4941 8154 9211 9882 12231 18422 24462 27633 55266 75133 82899 150266 165798 225399 248697 450798 497394 676197 746091 1352394 1492182 2028591 4057182 4583113 6085773 9166226 11345083 12171546 13749339 22690166 27498678 34035249 41248017 68070498 82496034 102105747 123744051 204211494 247488102 306317241 371232153 612634482 692050063 742464306 918951723 1384100126 1837903446 2076150189 4152300378 6228450567 12456901134 18685351701 37370703402 56056055103 112112110206