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11010010009999 = 71113171016479901
BaseRepresentation
bin1010000000110111011110…
…1111000101000110001111
31102222112202112020212120111
42200031313233011012033
52420342000030304444
635225532340500451
72214306211646050
oct240156757050617
942875675225514
1011010010009999
113565356690650
1212999920aa727
1361b3162077b0
142a0c5cb82727
151415e0393234
hexa0377bc518f

11010010009999 has 128 divisors (see below), whose sum is σ = 15833242865664. Its totient is φ = 7367500800000.

The previous prime is 11010010009979. The next prime is 11010010010011. The reversal of 11010010009999 is 99990001001011.

It is not a de Polignac number, because 11010010009999 - 25 = 11010010009967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010010009939) 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, 1112004949 + ... + 1112014849.

It is an arithmetic number, because the mean of its divisors is an integer number (123697209888).

Almost surely, 211010010009999 is an apocalyptic number.

11010010009999 is a deficient number, since it is larger than the sum of its proper divisors (4823232855665).

11010010009999 is a wasteful number, since it uses less digits than its factorization.

11010010009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 11010010009999 in words is "eleven trillion, ten billion, ten million, nine thousand, nine hundred ninety-nine".

Divisors: 1 7 11 13 17 77 91 101 119 143 187 221 647 707 1001 1111 1309 1313 1547 1717 2431 4529 7117 7777 8411 9191 9901 10999 12019 14443 17017 18887 22321 49819 58877 65347 69307 76993 92521 101101 108911 120989 128713 132209 142987 156247 168317 245531 457429 647647 718817 762377 846923 849511 900991 1000001 1000909 1110899 1178219 1415843 1572857 1718717 1851487 2188121 5031719 5946577 6405947 7000007 7776293 9344621 9910901 11000011 11009999 12219889 12960409 13000013 14441687 15316847 17000017 24069331 44841629 65412347 70465417 77000077 83277311 85539223 91000091 101091809 108901099 119000119 143000143 158858557 168485317 187000187 221000221 493257919 582941177 647000647 762307693 916050421 1001001001 1112009899 1197912089 1309001309 1415714287 1547001547 2431002431 4529004529 6412352947 7117007117 8385384623 8411008411 9910000009 10999010999 15572857157 17017017017 49819049819 58877058877 76993076993 92521092521 109010000099 120989120989 142987142987 647647647647 846923846923 1000910000909 1572858572857 11010010009999