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12001102030233 = 331759799675801
BaseRepresentation
bin1010111010100011100101…
…1011000110010110011001
31120111021221102202001002000
42232220321123012112121
53033111224104431413
641305121414231213
72346023332062441
oct256507133062631
946437842661060
1012001102030233
113907703256498
121419a88955509
13690911b01694
142d6bdc0c9121
1515c299a58073
hexaea396c6599

12001102030233 has 128 divisors (see below), whose sum is σ = 19410057216000. Its totient is φ = 7299955353600.

The previous prime is 12001102030231. The next prime is 12001102030237. The reversal of 12001102030233 is 33203020110021.

12001102030233 is a `hidden beast` number, since 1 + 200 + 110 + 20 + 302 + 33 = 666.

It is not a de Polignac number, because 12001102030233 - 21 = 12001102030231 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12001102030231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2068795933 + ... + 2068801733.

It is an arithmetic number, because the mean of its divisors is an integer number (151641072000).

Almost surely, 212001102030233 is an apocalyptic number.

It is an amenable number.

12001102030233 is a deficient number, since it is larger than the sum of its proper divisors (7408955185767).

12001102030233 is a wasteful number, since it uses less digits than its factorization.

12001102030233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6932 (or 6926 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12001102030233 its reverse (33203020110021), we get a palindrome (45204122140254).

The spelling of 12001102030233 in words is "twelve trillion, one billion, one hundred two million, thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 17 27 51 59 79 153 177 237 459 531 711 967 1003 1343 1593 2133 2901 3009 4029 4661 5801 8703 9027 12087 13983 16439 17403 26109 27081 36261 41949 49317 52209 57053 76393 79237 98617 125847 147951 156627 171159 229179 237711 295851 342259 443853 458279 513477 687537 713133 887553 969901 1026777 1298681 1374837 1540431 2062611 2139399 2662659 2909703 3080331 3896043 4124511 4507187 5609567 5818403 7790743 8729109 9240993 11688129 12373533 13521561 16828701 17455209 23372229 26187327 27038461 35064387 40564683 50486103 52365627 70116687 76622179 81115383 95362639 121694049 151458309 157096881 210350061 229866537 243346149 286087917 330964453 443155793 459653837 689599611 730038447 858263751 992893359 1329467379 1378961511 2068798833 2574791253 2978680077 3988402137 4136884533 5626395701 7533648481 8936040231 11965206411 12410653599 16879187103 22600945443 26146191787 50637561309 67802836329 78438575361 151912683927 203408508987 235315726083 444485260379 705947178249 1333455781137 4000367343411 12001102030233