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10000111110011 = 11191572416731879
BaseRepresentation
bin1001000110000101010100…
…0100100000011101111011
31022102000000221022020002222
42101201111010200131323
52302320211421010021
633133553154314255
72051325034641221
oct221412504403573
938360027266088
1010000111110011
113206029023680
121156108b8898b
1357701118bba9
14268017bb2b11
151251d4a8e6ab
hex9185512077b

10000111110011 has 64 divisors (see below), whose sum is σ = 11627904076800. Its totient is φ = 8504978227200.

The previous prime is 10000111110001. The next prime is 10000111110043. The reversal of 10000111110011 is 11001111100001.

It is a cyclic number.

It is not a de Polignac number, because 10000111110011 - 234 = 9982931240827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000111110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322037970 + ... + 5322039848.

It is an arithmetic number, because the mean of its divisors is an integer number (181686001200).

Almost surely, 210000111110011 is an apocalyptic number.

10000111110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000111110011 is a deficient number, since it is larger than the sum of its proper divisors (1627792966789).

10000111110011 is a wasteful number, since it uses less digits than its factorization.

10000111110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10000111110011 its reverse (11001111100001), we get a palindrome (21001222210012).

The spelling of 10000111110011 in words is "ten trillion, one hundred eleven million, one hundred ten thousand, eleven".

Divisors: 1 11 19 157 209 241 673 1727 1879 2651 2983 4579 7403 12787 20669 32813 35701 37837 50369 105661 140657 162193 295003 392711 416207 452839 718903 1162271 1264567 1784123 2007559 3081667 3245033 4981229 5605057 7907933 8603941 13910237 22083149 24026773 25464301 33898337 61655627 71095723 94643351 198537019 264294503 280107311 304760647 483821719 782052953 1350818737 2183907209 3352367117 3772203361 5322038909 5790452293 14859006107 41494236971 47847421579 63694975223 526321637369 909101010001 10000111110011