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201105234 = 2331119103173
BaseRepresentation
bin10111111110010…
…01111101010010
3112000102012112000
423333021331102
5402440331414
631542214430
74661236431
oct1377117522
9460365460
10201105234
11a3578380
1257424416
13328833a5
141c9cd118
15129c6b09
hexbfc9f52

201105234 has 128 divisors (see below), whose sum is σ = 521164800. Its totient is φ = 56842560.

The previous prime is 201105211. The next prime is 201105239. The reversal of 201105234 is 432501102.

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 (201105239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1162372 + ... + 1162544.

It is an arithmetic number, because the mean of its divisors is an integer number (4071600).

Almost surely, 2201105234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201105234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260582400).

201105234 is an abundant number, since it is smaller than the sum of its proper divisors (320059566).

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

201105234 is a wasteful number, since it uses less digits than its factorization.

201105234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201105234 is about 14181.1577101448. The cubic root of 201105234 is about 585.8788106465.

Adding to 201105234 its reverse (432501102), we get a palindrome (633606336).

The spelling of 201105234 in words is "two hundred one million, one hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 103 114 171 173 198 206 209 297 309 342 346 418 513 519 594 618 627 927 1026 1038 1133 1254 1557 1854 1881 1903 1957 2266 2781 3114 3287 3399 3762 3806 3914 4671 5562 5643 5709 5871 6574 6798 9342 9861 10197 11286 11418 11742 17127 17613 17819 19722 20394 21527 29583 30591 34254 35226 35638 36157 43054 51381 52839 53457 59166 61182 64581 72314 88749 102762 105678 106914 108471 129162 160371 177498 193743 196009 216942 320742 325413 338561 387486 392018 481113 581229 588027 650826 677122 962226 976239 1015683 1162458 1176054 1764081 1952478 2031366 3047049 3528162 3724171 5292243 6094098 7448342 9141147 10584486 11172513 18282294 22345026 33517539 67035078 100552617 201105234