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201123241110 = 233511528112823
BaseRepresentation
bin1011101101001111100…
…0010001110010010110
3201020010121212020122000
42323103320101302112
511243400022203420
6232221133020130
720350010225301
oct2732370216226
9636117766560
10201123241110
117832890a940
1232b8b924646
1315c72c4959c
149a3d34db38
155371d9b690
hex2ed3e11c96

201123241110 has 128 divisors (see below), whose sum is σ = 585242219520. Its totient is φ = 48744115200.

The previous prime is 201123241103. The next prime is 201123241129. The reversal of 201123241110 is 11142321102.

201123241110 is a `hidden beast` number, since 2 + 0 + 11 + 232 + 411 + 10 = 666.

It is a super-2 number, since 2×2011232411102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15678159 + ... + 15690981.

It is an arithmetic number, because the mean of its divisors is an integer number (4572204840).

Almost surely, 2201123241110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201123241110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292621109760).

201123241110 is an abundant number, since it is smaller than the sum of its proper divisors (384118978410).

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

201123241110 is a wasteful number, since it uses less digits than its factorization.

201123241110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18131 (or 18125 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201123241110 its reverse (11142321102), we get a palindrome (212265562212).

The spelling of 201123241110 in words is "two hundred one billion, one hundred twenty-three million, two hundred forty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 5281 10562 12823 15843 25646 26405 31686 38469 47529 52810 58091 64115 76938 79215 95058 115407 116182 128230 141053 142587 158430 174273 192345 230814 237645 282106 285174 290455 346221 348546 384690 423159 475290 522819 577035 580910 692442 705265 712935 846318 871365 1045638 1154070 1269477 1410530 1425870 1568457 1731105 1742730 2115795 2538954 2614095 3136914 3462210 3808431 4231590 5228190 6347385 7616862 7842285 12694770 15684570 19042155 38084310 67718263 135436526 203154789 338591315 406309578 609464367 677182630 744900893 1015773945 1218928734 1489801786 1828393101 2031547890 2234702679 3047321835 3656786202 3724504465 4469405358 6094643670 6704108037 7449008930 9141965505 11173513395 13408216074 18283931010 20112324111 22347026790 33520540185 40224648222 67041080370 100561620555 201123241110