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231106122 = 2361389137
BaseRepresentation
bin11011100011001…
…10011001001010
3121002212102000000
431301212121022
5433130343442
634533223430
75504240532
oct1561463112
9532772000
10231106122
111094a94a5
1265491b76
1338b588b0
142299c4c2
1515450d4c
hexdc6664a

231106122 has 112 divisors (see below), whose sum is σ = 570152520. Its totient is φ = 69797376.

The previous prime is 231106111. The next prime is 231106151. The reversal of 231106122 is 221601132.

231106122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 132917841 + 98188281 = 11529^2 + 9909^2 .

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 = 231106095 and 231106104.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1686838 + ... + 1686974.

Almost surely, 2231106122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231106122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285076260).

231106122 is an abundant number, since it is smaller than the sum of its proper divisors (339046398).

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

231106122 is a wasteful number, since it uses less digits than its factorization.

231106122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 231106122 is about 15202.1749101897. The cubic root of 231106122 is about 613.6731895475.

Adding to 231106122 its reverse (221601132), we get a palindrome (452707254).

The spelling of 231106122 in words is "two hundred thirty-one million, one hundred six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 89 117 137 162 178 234 243 267 274 351 411 486 534 702 729 801 822 1053 1157 1233 1458 1602 1781 2106 2314 2403 2466 3159 3471 3562 3699 4806 5343 6318 6942 7209 7398 9477 10413 10686 11097 12193 14418 16029 18954 20826 21627 22194 24386 31239 32058 33291 36579 43254 48087 62478 64881 66582 73158 93717 96174 99873 109737 129762 144261 158509 187434 199746 219474 281151 288522 317018 329211 432783 475527 562302 658422 843453 865566 951054 987633 1298349 1426581 1686906 1975266 2596698 2853162 2962899 4279743 5925798 8559486 8888697 12839229 17777394 25678458 38517687 77035374 115553061 231106122