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201211013033112 = 2331032771422120663
BaseRepresentation
bin101101110000000000010110…
…111101001110110010011000
3222101102120210110022012212010
4231300000112331032302120
5202333120123314024422
61551535021401345520
760245005322255025
oct5560002675166230
9871376713265763
10201211013033112
115912612532a1a5
121a6980611982a0
13883716a3b5514
143798944a5254c
15183de60a40b0c
hexb70016f4ec98

201211013033112 has 128 divisors (see below), whose sum is σ = 509805425525760. Its totient is φ = 66171532746240.

The previous prime is 201211013033111. The next prime is 201211013033119. The reversal of 201211013033112 is 211330310112102.

It is a super-2 number, since 2×2012110130331122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211013033111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9737734093 + ... + 9737754755.

It is an arithmetic number, because the mean of its divisors is an integer number (3982854886920).

Almost surely, 2201211013033112 is an apocalyptic number.

It is an amenable number.

201211013033112 is an abundant number, since it is smaller than the sum of its proper divisors (308594412492648).

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

201211013033112 is a wasteful number, since it uses less digits than its factorization.

201211013033112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35273 (or 35269 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 201211013033112 its reverse (211330310112102), we get a palindrome (412541323145214).

The spelling of 201211013033112 in words is "two hundred one trillion, two hundred eleven billion, thirteen million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 103 206 277 309 412 554 618 824 831 1108 1236 1662 2216 2472 3324 6648 14221 20663 28442 28531 41326 42663 56884 57062 61989 82652 85326 85593 113768 114124 123978 165304 170652 171186 228248 247956 341304 342372 495912 684744 1464763 2128289 2929526 3939217 4256578 4394289 5723651 5859052 6384867 7878434 8513156 8788578 11447302 11718104 11817651 12769734 15756868 17026312 17170953 17577156 22894604 23635302 25539468 31513736 34341906 35154312 45789208 47270604 51078936 68683812 94541208 137367624 293848523 405739351 587697046 589536053 811478702 881545569 1175394092 1179072106 1217218053 1622957404 1763091138 1768608159 2350788184 2358144212 2434436106 3245914808 3526182276 3537216318 4716288424 4868872212 7052364552 7074432636 9737744424 14148865272 30266397869 60532795738 81396040871 90799193607 121065591476 162792081742 181598387214 242131182952 244188122613 325584163484 363196774428 488376245226 651168326968 726393548856 976752490452 1953504980904 8383792209713 16767584419426 25151376629139 33535168838852 50302753258278 67070337677704 100605506516556 201211013033112