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11012110022001 = 31143211241715217
BaseRepresentation
bin1010000000111111010011…
…1001111111010101110001
31102222202011212210112110210
42200033310321333111301
52420410300131201001
635230520555214333
72214412231523034
oct240176471772561
942882155715423
1011012110022001
113566234027760
12129a2794473a9
1361b58c2cac4a
142a0dbba3301b
151416b490ddd6
hexa03f4e7f571

11012110022001 has 64 divisors (see below), whose sum is σ = 16475691488256. Its totient is φ = 6484791398400.

The previous prime is 11012110021949. The next prime is 11012110022063. The reversal of 11012110022001 is 10022001121011.

It is not a de Polignac number, because 11012110022001 - 225 = 11012076467569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11012110022071) 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, 723663945 + ... + 723679161.

It is an arithmetic number, because the mean of its divisors is an integer number (257432679504).

Almost surely, 211012110022001 is an apocalyptic number.

11012110022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012110022001 is a deficient number, since it is larger than the sum of its proper divisors (5463581466255).

11012110022001 is a wasteful number, since it uses less digits than its factorization.

11012110022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17902.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012110022001 its reverse (10022001121011), we get a palindrome (21034111143012).

The spelling of 11012110022001 in words is "eleven trillion, twelve billion, one hundred ten million, twenty-two thousand, one".

Divisors: 1 3 11 33 43 129 211 473 633 1419 2321 2417 6963 7251 9073 15217 26587 27219 45651 79761 99803 103931 167387 299409 311793 502161 509987 654331 1143241 1529961 1962993 3210787 3429723 5609857 7197641 9632361 16829571 21592923 21929441 35318657 36779489 65788323 105955971 110338467 138063841 241223851 404574379 414191523 723671553 1213723137 1518702251 1581518027 4556106753 4744554081 7760472179 17396698297 23281416537 52190094891 85365193969 256095581907 333700303697 1001100911091 3670703340667 11012110022001