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11001022002201 = 37117313719923929
BaseRepresentation
bin1010000000010110000000…
…0000100011010000011001
31102221200120010201202202210
42200011200000203100121
52420220043113032301
635221444424345333
72213540403102510
oct240054000432031
942850503652683
1011001022002201
113561564140330
1212980a4015249
1361a513095a9a
142a06491ad677
15141266284ad6
hexa0160023419

11001022002201 has 128 divisors (see below), whose sum is σ = 18767858688000. Its totient is φ = 5567038709760.

The previous prime is 11001022002197. The next prime is 11001022002239. The reversal of 11001022002201 is 10220022010011.

It is not a de Polignac number, because 11001022002201 - 22 = 11001022002197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11001022001201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459724005 + ... + 459747933.

It is an arithmetic number, because the mean of its divisors is an integer number (146623896000).

Almost surely, 211001022002201 is an apocalyptic number.

11001022002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11001022002201 is a deficient number, since it is larger than the sum of its proper divisors (7766836685799).

11001022002201 is a wasteful number, since it uses less digits than its factorization.

11001022002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24359.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11001022002201 its reverse (10220022010011), we get a palindrome (21221044012212).

The spelling of 11001022002201 in words is "eleven trillion, one billion, twenty-two million, two thousand, two hundred one".

Divisors: 1 3 7 11 21 33 73 77 137 199 219 231 411 511 597 803 959 1393 1507 1533 2189 2409 2877 4179 4521 5621 6567 10001 10549 14527 15323 16863 23929 27263 30003 31647 43581 45969 70007 71787 81789 101689 110011 159797 167503 190841 210021 263219 299893 305067 330033 479391 502509 572523 770077 789657 899679 1118579 1746817 1842533 1990199 2099251 2310231 3278273 3355737 4761871 5240451 5527599 5970597 6297753 9834819 12227719 13931393 14285613 19214987 21892189 22947911 33333097 36061003 36683157 41794179 52380581 57644961 65676567 68843733 99999291 108183009 134504909 153245323 157141743 239313929 252427021 347616583 366664067 403514727 459735969 652376327 717941787 757281063 1042849749 1099992201 1675197503 1957128981 2433316081 2632453219 3823782413 4566634289 5025592509 7176139597 7299948243 7897359657 11471347239 13699902867 18427172533 21528418791 26766476891 47623471871 50232977179 55281517599 80299430673 142870415613 150698931537 333364303097 523858190581 1000092909291 1571574571743 3667007334067 11001022002201